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Finding the Fourth Proportional to 382.83, 574.21 and 139.41

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Solution

The fourth proportional to 382.83, 574.21 and 139.41 is: 209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.83 : 574.21 = 139.41 : x
  2. Step 2: Convert to fraction form
    382.83/574.21 = 139.41/x
  3. Step 3: Cross multiply
    382.83x = 574.21 × 139.41
  4. Step 4: Simplify right side
    382.83x = 80,049.35
  5. Step 5: Solve for x
    x = 80,049.35/382.83
  6. Step 6: Final answer
    x = 209.10

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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.