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Finding the Fourth Proportional to 396.96, 547.68 and 257.16

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Solution

The fourth proportional to 396.96, 547.68 and 257.16 is: 354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.96 : 547.68 = 257.16 : x
  2. Step 2: Convert to fraction form
    396.96/547.68 = 257.16/x
  3. Step 3: Cross multiply
    396.96x = 547.68 × 257.16
  4. Step 4: Simplify right side
    396.96x = 140,841.39
  5. Step 5: Solve for x
    x = 140,841.39/396.96
  6. Step 6: Final answer
    x = 354.80

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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.