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Finding the Fourth Proportional to 396.86, 547.76 and 257.13

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Solution

The fourth proportional to 396.86, 547.76 and 257.13 is: 354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.86 : 547.76 = 257.13 : x
  2. Step 2: Convert to fraction form
    396.86/547.76 = 257.13/x
  3. Step 3: Cross multiply
    396.86x = 547.76 × 257.13
  4. Step 4: Simplify right side
    396.86x = 140,844.24
  5. Step 5: Solve for x
    x = 140,844.24/396.86
  6. Step 6: Final answer
    x = 354.90

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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.