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Finding the Fourth Proportional to 396.97, 595.44 and 123.08

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Solution

The fourth proportional to 396.97, 595.44 and 123.08 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.97 : 595.44 = 123.08 : x
  2. Step 2: Convert to fraction form
    396.97/595.44 = 123.08/x
  3. Step 3: Cross multiply
    396.97x = 595.44 × 123.08
  4. Step 4: Simplify right side
    396.97x = 73,286.76
  5. Step 5: Solve for x
    x = 73,286.76/396.97
  6. Step 6: Final answer
    x = 184.62

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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.