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Finding the Fourth Proportional to 441.20, 658.36 and 382.88

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Solution

The fourth proportional to 441.20, 658.36 and 382.88 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.20 : 658.36 = 382.88 : x
  2. Step 2: Convert to fraction form
    441.20/658.36 = 382.88/x
  3. Step 3: Cross multiply
    441.20x = 658.36 × 382.88
  4. Step 4: Simplify right side
    441.20x = 252,072.88
  5. Step 5: Solve for x
    x = 252,072.88/441.20
  6. Step 6: Final answer
    x = 571.33

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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.