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Finding the Fourth Proportional to 396.78, 547.36 and 257.02

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Solution

The fourth proportional to 396.78, 547.36 and 257.02 is: 354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.78 : 547.36 = 257.02 : x
  2. Step 2: Convert to fraction form
    396.78/547.36 = 257.02/x
  3. Step 3: Cross multiply
    396.78x = 547.36 × 257.02
  4. Step 4: Simplify right side
    396.78x = 140,680.46
  5. Step 5: Solve for x
    x = 140,680.46/396.78
  6. Step 6: Final answer
    x = 354.56

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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.