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Finding the Fourth Proportional to 396.31, 591.33 and 394.02

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Solution

The fourth proportional to 396.31, 591.33 and 394.02 is: 587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.31 : 591.33 = 394.02 : x
  2. Step 2: Convert to fraction form
    396.31/591.33 = 394.02/x
  3. Step 3: Cross multiply
    396.31x = 591.33 × 394.02
  4. Step 4: Simplify right side
    396.31x = 232,990.92
  5. Step 5: Solve for x
    x = 232,990.92/396.31
  6. Step 6: Final answer
    x = 587.90

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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.