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Finding the Fourth Proportional to 396.20, 594.15 and 136.13

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Solution

The fourth proportional to 396.20, 594.15 and 136.13 is: 204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.20 : 594.15 = 136.13 : x
  2. Step 2: Convert to fraction form
    396.20/594.15 = 136.13/x
  3. Step 3: Cross multiply
    396.20x = 594.15 × 136.13
  4. Step 4: Simplify right side
    396.20x = 80,881.64
  5. Step 5: Solve for x
    x = 80,881.64/396.20
  6. Step 6: Final answer
    x = 204.14

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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.