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Finding the Fourth Proportional to 396.54, 595.72 and 281.27

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Solution

The fourth proportional to 396.54, 595.72 and 281.27 is: 422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.54 : 595.72 = 281.27 : x
  2. Step 2: Convert to fraction form
    396.54/595.72 = 281.27/x
  3. Step 3: Cross multiply
    396.54x = 595.72 × 281.27
  4. Step 4: Simplify right side
    396.54x = 167,553.78
  5. Step 5: Solve for x
    x = 167,553.78/396.54
  6. Step 6: Final answer
    x = 422.54

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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.