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Finding the Fourth Proportional to 396.56, 546.12 and 356.88

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Solution

The fourth proportional to 396.56, 546.12 and 356.88 is: 491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.56 : 546.12 = 356.88 : x
  2. Step 2: Convert to fraction form
    396.56/546.12 = 356.88/x
  3. Step 3: Cross multiply
    396.56x = 546.12 × 356.88
  4. Step 4: Simplify right side
    396.56x = 194,899.31
  5. Step 5: Solve for x
    x = 194,899.31/396.56
  6. Step 6: Final answer
    x = 491.47

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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.