The Ideal Gas Law allows us to assume that at constant volume the variation in pressure is proportional to the variation in temperature.
Hence,
[tex]\frac{P1}{T1} = \frac{P2}{T2}\\ \\
\frac{4.50}{200} =\frac{P2}{250} \\ \\
P2 = \frac{4.50 * 250}{200}\\ \\
P2 = 5.63 atm[/tex]
