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Finding the Fourth Proportional to 396.50, 547.17 and 221.87

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Solution

The fourth proportional to 396.50, 547.17 and 221.87 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 547.17 = 221.87 : x
  2. Step 2: Convert to fraction form
    396.50/547.17 = 221.87/x
  3. Step 3: Cross multiply
    396.50x = 547.17 × 221.87
  4. Step 4: Simplify right side
    396.50x = 121,400.61
  5. Step 5: Solve for x
    x = 121,400.61/396.50
  6. Step 6: Final answer
    x = 306.18

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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.