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Finding the Fourth Proportional to 396.08, 591.34 and 327.73

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Solution

The fourth proportional to 396.08, 591.34 and 327.73 is: 489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.08 : 591.34 = 327.73 : x
  2. Step 2: Convert to fraction form
    396.08/591.34 = 327.73/x
  3. Step 3: Cross multiply
    396.08x = 591.34 × 327.73
  4. Step 4: Simplify right side
    396.08x = 193,799.86
  5. Step 5: Solve for x
    x = 193,799.86/396.08
  6. Step 6: Final answer
    x = 489.29

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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.