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Finding the Fourth Proportional to 396.65, 595.02 and 149.81

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Solution

The fourth proportional to 396.65, 595.02 and 149.81 is: 224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.65 : 595.02 = 149.81 : x
  2. Step 2: Convert to fraction form
    396.65/595.02 = 149.81/x
  3. Step 3: Cross multiply
    396.65x = 595.02 × 149.81
  4. Step 4: Simplify right side
    396.65x = 89,136.97
  5. Step 5: Solve for x
    x = 89,136.97/396.65
  6. Step 6: Final answer
    x = 224.73

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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.