Is the R9 270x a suitable upgrade for the r7 360?

Solution
http://www.hardwaresecrets.com/radeon-r7-360-video-card-review/5/
and
https://www.techpowerup.com/reviews/MSI/GTX_1050_Ti_Gaming_X/27.html

If we ignore the games in the first where it does BETTER (could be some other bottleneck) then I'll say the R7-360 gets about 60% the performance of the GTX950.

The GTX950 starts the chart for average of games in the second chart. So IGNORING YOUR CPU for now, here's how you compare average performance boost.

Use 42% for the R7-360, then take chose card and divide by 42%. Thus,

RX-470 4GB relative perf = 125%/42% = approx 3X the FPS (or some combination of FPS and better quality)



Below is a link to Tom's Hardware GPU hierarchy. This is a good table to use when judging increased performance between one GU to another.

They don't recommend an upgrade unless the GPU is 3 tiers or higher. In your case the 270x is 4 tiers higher than the 360, so you will see a significant performance increase. But it is still an older card, so I would not get a 270x unless it was a really good deal.

http://www.tomshardware.com/reviews/gpu-hierarchy,4388.html
 
Honestly. R9s are even being outclassed now due to age. You could get something like a 1050 ti for cheaper then you would spend on a R9, or even spend alittle more and get a GTX 1060. you'd most likely get better performance due to the newer technology.

If you already are in the R series. I wouldn't recommend jumping to something else in the R series. Wait for the new version of GPU set to be released or go with another vendor like nvidia.
 
An R9 270x is roughly equal to an RX 460. A suitable upgrade would be more along the lines of an RX 470 which offers on average about 75% faster performance in games over the 270x. The GTX 1050Ti offers about a 40% improvement in FPS. I would not recommend going backwards in older series cards (they generally use more power and run hotter than their newer variant replacements).
 
http://www.hardwaresecrets.com/radeon-r7-360-video-card-review/5/
and
https://www.techpowerup.com/reviews/MSI/GTX_1050_Ti_Gaming_X/27.html

If we ignore the games in the first where it does BETTER (could be some other bottleneck) then I'll say the R7-360 gets about 60% the performance of the GTX950.

The GTX950 starts the chart for average of games in the second chart. So IGNORING YOUR CPU for now, here's how you compare average performance boost.

Use 42% for the R7-360, then take chose card and divide by 42%. Thus,

RX-470 4GB relative perf = 125%/42% = approx 3X the FPS (or some combination of FPS and better quality)



 
Solution
How much does this 270X cost? An R9 270X should offer performance roughly comparable to a GTX 1050 as far as current-generation cards go, and those can be found new for around $110 USD online, so I wouldn't pay more than that for one. Plus, a 1050, being newer, only requires around 70 watts under load to provide that performance, while a 270X requires upward of 120 watts, resulting in more heat and potentially more noise produced by the card. A 1050 Ti will provide even better performance and also includes 4GB of VRAM which can help performance in newer games, and those can be found starting around $155 now.

Due to the current graphics card shortage caused by cryptocurrency mining, I wouldn't buy anything higher than 1050 Ti right now. While the previous poster's suggestion for an RX 470 would have been good a few months back, they've been sold out at pretty much all retailers for a while now, and any RX 470s, 480s, 570s and 580s you might find will likely be marked up to around double their normal cost. GTX 1060s and 1070s are also in short supply and marked up quite a bit, so they're not a very good option at the moment either.

If the 270X is priced lower than a GTX 1050, it might be worth buying, otherwise I wouldn't bother with it and would go with something newer.