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Finding the Fourth Proportional to 500.31, 750.32 and 256.81

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Solution

The fourth proportional to 500.31, 750.32 and 256.81 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.31 : 750.32 = 256.81 : x
  2. Step 2: Convert to fraction form
    500.31/750.32 = 256.81/x
  3. Step 3: Cross multiply
    500.31x = 750.32 × 256.81
  4. Step 4: Simplify right side
    500.31x = 192,687.48
  5. Step 5: Solve for x
    x = 192,687.48/500.31
  6. Step 6: Final answer
    x = 385.13

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