Finding the Fourth Proportional to 271.48, 407.34 and 100.52

Step by Step Solution

1. Step 1: Write the proportion equation
   271.48 : 407.34 = 100.52 : x
2. Step 2: Convert to fraction form
   271.48/407.34 = 100.52/x
3. Step 3: Cross multiply
   271.48x = 407.34 × 100.52
4. Step 4: Simplify right side
   271.48x = 40,945.82
5. Step 5: Solve for x
   x = 40,945.82/271.48
6. Step 6: Final answer
   x = 150.82