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Finding the Fourth Proportional to 529.92, 731.84 and 354.96

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Solution

The fourth proportional to 529.92, 731.84 and 354.96 is: 490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.92 : 731.84 = 354.96 : x
  2. Step 2: Convert to fraction form
    529.92/731.84 = 354.96/x
  3. Step 3: Cross multiply
    529.92x = 731.84 × 354.96
  4. Step 4: Simplify right side
    529.92x = 259,773.93
  5. Step 5: Solve for x
    x = 259,773.93/529.92
  6. Step 6: Final answer
    x = 490.21

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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.