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Finding the Fourth Proportional to 396.14, 546.45 and 279.50

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Solution

The fourth proportional to 396.14, 546.45 and 279.50 is: 385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 546.45 = 279.50 : x
  2. Step 2: Convert to fraction form
    396.14/546.45 = 279.50/x
  3. Step 3: Cross multiply
    396.14x = 546.45 × 279.50
  4. Step 4: Simplify right side
    396.14x = 152,732.78
  5. Step 5: Solve for x
    x = 152,732.78/396.14
  6. Step 6: Final answer
    x = 385.55

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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.