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Finding the Fourth Proportional to 396.53, 590.73 and 392.21

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Solution

The fourth proportional to 396.53, 590.73 and 392.21 is: 584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.53 : 590.73 = 392.21 : x
  2. Step 2: Convert to fraction form
    396.53/590.73 = 392.21/x
  3. Step 3: Cross multiply
    396.53x = 590.73 × 392.21
  4. Step 4: Simplify right side
    396.53x = 231,691.19
  5. Step 5: Solve for x
    x = 231,691.19/396.53
  6. Step 6: Final answer
    x = 584.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.