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Finding the Fourth Proportional to 529.92, 731.08 and 364.24

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Solution

The fourth proportional to 529.92, 731.08 and 364.24 is: 502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.92 : 731.08 = 364.24 : x
  2. Step 2: Convert to fraction form
    529.92/731.08 = 364.24/x
  3. Step 3: Cross multiply
    529.92x = 731.08 × 364.24
  4. Step 4: Simplify right side
    529.92x = 266,288.58
  5. Step 5: Solve for x
    x = 266,288.58/529.92
  6. Step 6: Final answer
    x = 502.51

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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.