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Finding the Fourth Proportional to 382.47, 574.10 and 166.20

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Solution

The fourth proportional to 382.47, 574.10 and 166.20 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 574.10 = 166.20 : x
  2. Step 2: Convert to fraction form
    382.47/574.10 = 166.20/x
  3. Step 3: Cross multiply
    382.47x = 574.10 × 166.20
  4. Step 4: Simplify right side
    382.47x = 95,415.42
  5. Step 5: Solve for x
    x = 95,415.42/382.47
  6. Step 6: Final answer
    x = 249.47

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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.