Answer:
Our fourth number is 52.
Step-by-step explanation:
Let our first even number be x.
Then the second even number must be (x + 2), the third (x + 4), fourth (x + 6), and the fifth (x + 8).
They sum to 250. Hence:
[tex]x+(x+2)+(x+4)+(x+6)+(x+8)=250[/tex]
Solve for x. Combine like terms:
[tex]5x+20=250[/tex]
Subtract 20 from both sides:
[tex]5x=230[/tex]
And divide both sides by five. Hence:
[tex]x=46[/tex]
Thus, our sequence is 46, 48, 50, 52, and 54.
Hence, our fourth number is 52.
