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Finding the Fourth Proportional to 396.97, 595.15 and 224.13

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Solution

The fourth proportional to 396.97, 595.15 and 224.13 is: 336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.97 : 595.15 = 224.13 : x
  2. Step 2: Convert to fraction form
    396.97/595.15 = 224.13/x
  3. Step 3: Cross multiply
    396.97x = 595.15 × 224.13
  4. Step 4: Simplify right side
    396.97x = 133,389.85
  5. Step 5: Solve for x
    x = 133,389.85/396.97
  6. Step 6: Final answer
    x = 336.02

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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.