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Finding the Fourth Proportional to 396.14, 591.84 and 382.50

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Solution

The fourth proportional to 396.14, 591.84 and 382.50 is: 571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 591.84 = 382.50 : x
  2. Step 2: Convert to fraction form
    396.14/591.84 = 382.50/x
  3. Step 3: Cross multiply
    396.14x = 591.84 × 382.50
  4. Step 4: Simplify right side
    396.14x = 226,378.80
  5. Step 5: Solve for x
    x = 226,378.80/396.14
  6. Step 6: Final answer
    x = 571.47

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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.