Finding the Fourth Proportional to 282.72, 424.14 and 100.10

Step by Step Solution

1. Step 1: Write the proportion equation
   282.72 : 424.14 = 100.10 : x
2. Step 2: Convert to fraction form
   282.72/424.14 = 100.10/x
3. Step 3: Cross multiply
   282.72x = 424.14 × 100.10
4. Step 4: Simplify right side
   282.72x = 42,456.41
5. Step 5: Solve for x
   x = 42,456.41/282.72
6. Step 6: Final answer
   x = 150.17