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Finding the Fourth Proportional to 487.58, 731.63 and 213.86

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Solution

The fourth proportional to 487.58, 731.63 and 213.86 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.58 : 731.63 = 213.86 : x
  2. Step 2: Convert to fraction form
    487.58/731.63 = 213.86/x
  3. Step 3: Cross multiply
    487.58x = 731.63 × 213.86
  4. Step 4: Simplify right side
    487.58x = 156,468.76
  5. Step 5: Solve for x
    x = 156,468.76/487.58
  6. Step 6: Final answer
    x = 320.91

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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.