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Finding the Fourth Proportional to 382.71, 574.09 and 166.23

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Solution

The fourth proportional to 382.71, 574.09 and 166.23 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.71 : 574.09 = 166.23 : x
  2. Step 2: Convert to fraction form
    382.71/574.09 = 166.23/x
  3. Step 3: Cross multiply
    382.71x = 574.09 × 166.23
  4. Step 4: Simplify right side
    382.71x = 95,430.98
  5. Step 5: Solve for x
    x = 95,430.98/382.71
  6. Step 6: Final answer
    x = 249.36

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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.