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Finding the Fourth Proportional to 396.38, 591.78 and 338.63

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Solution

The fourth proportional to 396.38, 591.78 and 338.63 is: 505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.38 : 591.78 = 338.63 : x
  2. Step 2: Convert to fraction form
    396.38/591.78 = 338.63/x
  3. Step 3: Cross multiply
    396.38x = 591.78 × 338.63
  4. Step 4: Simplify right side
    396.38x = 200,391.50
  5. Step 5: Solve for x
    x = 200,391.50/396.38
  6. Step 6: Final answer
    x = 505.56

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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.