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Finding the Fourth Proportional to 382.20, 575.63 and 324.92

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Solution

The fourth proportional to 382.20, 575.63 and 324.92 is: 489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 575.63 = 324.92 : x
  2. Step 2: Convert to fraction form
    382.20/575.63 = 324.92/x
  3. Step 3: Cross multiply
    382.20x = 575.63 × 324.92
  4. Step 4: Simplify right side
    382.20x = 187,033.70
  5. Step 5: Solve for x
    x = 187,033.70/382.20
  6. Step 6: Final answer
    x = 489.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.