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Finding the Fourth Proportional to 396.62, 547.59 and 355.10

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Solution

The fourth proportional to 396.62, 547.59 and 355.10 is: 490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.62 : 547.59 = 355.10 : x
  2. Step 2: Convert to fraction form
    396.62/547.59 = 355.10/x
  3. Step 3: Cross multiply
    396.62x = 547.59 × 355.10
  4. Step 4: Simplify right side
    396.62x = 194,449.21
  5. Step 5: Solve for x
    x = 194,449.21/396.62
  6. Step 6: Final answer
    x = 490.27

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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.