Finding the Fourth Proportional to 315.50, 435.15 and 204.89

Step by Step Solution

1. Step 1: Write the proportion equation
   315.50 : 435.15 = 204.89 : x
2. Step 2: Convert to fraction form
   315.50/435.15 = 204.89/x
3. Step 3: Cross multiply
   315.50x = 435.15 × 204.89
4. Step 4: Simplify right side
   315.50x = 89,155.71
5. Step 5: Solve for x
   x = 89,155.71/315.50
6. Step 6: Final answer
   x = 282.59