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Finding the Fourth Proportional to 529.97, 731.49 and 308.96

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Solution

The fourth proportional to 529.97, 731.49 and 308.96 is: 426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.97 : 731.49 = 308.96 : x
  2. Step 2: Convert to fraction form
    529.97/731.49 = 308.96/x
  3. Step 3: Cross multiply
    529.97x = 731.49 × 308.96
  4. Step 4: Simplify right side
    529.97x = 226,002.98
  5. Step 5: Solve for x
    x = 226,002.98/529.97
  6. Step 6: Final answer
    x = 426.44

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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.