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Finding the Fourth Proportional to 396.37, 547.24 and 354.85

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Solution

The fourth proportional to 396.37, 547.24 and 354.85 is: 489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.37 : 547.24 = 354.85 : x
  2. Step 2: Convert to fraction form
    396.37/547.24 = 354.85/x
  3. Step 3: Cross multiply
    396.37x = 547.24 × 354.85
  4. Step 4: Simplify right side
    396.37x = 194,188.11
  5. Step 5: Solve for x
    x = 194,188.11/396.37
  6. Step 6: Final answer
    x = 489.92

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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.