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Finding the Fourth Proportional to 487.57, 731.11 and 213.54

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Solution

The fourth proportional to 487.57, 731.11 and 213.54 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.57 : 731.11 = 213.54 : x
  2. Step 2: Convert to fraction form
    487.57/731.11 = 213.54/x
  3. Step 3: Cross multiply
    487.57x = 731.11 × 213.54
  4. Step 4: Simplify right side
    487.57x = 156,121.23
  5. Step 5: Solve for x
    x = 156,121.23/487.57
  6. Step 6: Final answer
    x = 320.20

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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.