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Finding the Fourth Proportional to 531.31, 732.09 and 400.09

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Solution

The fourth proportional to 531.31, 732.09 and 400.09 is: 551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.31 : 732.09 = 400.09 : x
  2. Step 2: Convert to fraction form
    531.31/732.09 = 400.09/x
  3. Step 3: Cross multiply
    531.31x = 732.09 × 400.09
  4. Step 4: Simplify right side
    531.31x = 292,901.89
  5. Step 5: Solve for x
    x = 292,901.89/531.31
  6. Step 6: Final answer
    x = 551.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.