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Finding the Fourth Proportional to 396.72, 592.56 and 327.60

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Solution

The fourth proportional to 396.72, 592.56 and 327.60 is: 489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.72 : 592.56 = 327.60 : x
  2. Step 2: Convert to fraction form
    396.72/592.56 = 327.60/x
  3. Step 3: Cross multiply
    396.72x = 592.56 × 327.60
  4. Step 4: Simplify right side
    396.72x = 194,122.66
  5. Step 5: Solve for x
    x = 194,122.66/396.72
  6. Step 6: Final answer
    x = 489.32

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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.