Yeah I wouldn't trust that power supply with a decently priced graphics card. I wouldn't plan on running it at more than 300w consistently. I would upgrade the power supply to something seasonic, xfx, corsair or antec minumum 520w range for a 7850 or 7870.
If you want to keep your power supply I wouldn't go any more power hungry than a hd 7770. A 7770 should give you a decent boost in FPS, while consuming about the same amount of power as your 440. That said with a power supply of questionable quality you always run the risk of damaging components, so I still recommend a new power supply as I mentioned earlier.
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Desktop: X3 710, 4GB DDR2 1066, MSI Cyclone GTX 460, Seasonic S12II 500W
Away from home light Gamer: Acer Aspire 15.6", A8-3500m, 4GB 1333
Internet/General Use: Lenovo B570 15.6", i3 2330m, 4gb 1066mhz
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