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Finding the Fourth Proportional to 408.20, 614.10 and 382.64

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Solution

The fourth proportional to 408.20, 614.10 and 382.64 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.20 : 614.10 = 382.64 : x
  2. Step 2: Convert to fraction form
    408.20/614.10 = 382.64/x
  3. Step 3: Cross multiply
    408.20x = 614.10 × 382.64
  4. Step 4: Simplify right side
    408.20x = 234,979.22
  5. Step 5: Solve for x
    x = 234,979.22/408.20
  6. Step 6: Final answer
    x = 575.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.