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Finding the Fourth Proportional to 396.83, 547.75 and 249.61

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Solution

The fourth proportional to 396.83, 547.75 and 249.61 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.83 : 547.75 = 249.61 : x
  2. Step 2: Convert to fraction form
    396.83/547.75 = 249.61/x
  3. Step 3: Cross multiply
    396.83x = 547.75 × 249.61
  4. Step 4: Simplify right side
    396.83x = 136,723.88
  5. Step 5: Solve for x
    x = 136,723.88/396.83
  6. Step 6: Final answer
    x = 344.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.