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Finding the Fourth Proportional to 396.34, 547.12 and 271.96

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Solution

The fourth proportional to 396.34, 547.12 and 271.96 is: 375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.34 : 547.12 = 271.96 : x
  2. Step 2: Convert to fraction form
    396.34/547.12 = 271.96/x
  3. Step 3: Cross multiply
    396.34x = 547.12 × 271.96
  4. Step 4: Simplify right side
    396.34x = 148,794.76
  5. Step 5: Solve for x
    x = 148,794.76/396.34
  6. Step 6: Final answer
    x = 375.42

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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.