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Finding the Fourth Proportional to 396, 591.36 and 387

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Solution

The fourth proportional to 396, 591.36 and 387 is: 577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 591.36 = 387 : x
  2. Step 2: Convert to fraction form
    396/591.36 = 387/x
  3. Step 3: Cross multiply
    396x = 591.36 × 387
  4. Step 4: Simplify right side
    396x = 228,856.32
  5. Step 5: Solve for x
    x = 228,856.32/396
  6. Step 6: Final answer
    x = 577.92

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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.