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Finding the Fourth Proportional to 488.31, 731.92 and 213.88

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Solution

The fourth proportional to 488.31, 731.92 and 213.88 is: 320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.31 : 731.92 = 213.88 : x
  2. Step 2: Convert to fraction form
    488.31/731.92 = 213.88/x
  3. Step 3: Cross multiply
    488.31x = 731.92 × 213.88
  4. Step 4: Simplify right side
    488.31x = 156,543.05
  5. Step 5: Solve for x
    x = 156,543.05/488.31
  6. Step 6: Final answer
    x = 320.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.