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Finding the Fourth Proportional to 382.69, 574.03 and 126.19

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Solution

The fourth proportional to 382.69, 574.03 and 126.19 is: 189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.69 : 574.03 = 126.19 : x
  2. Step 2: Convert to fraction form
    382.69/574.03 = 126.19/x
  3. Step 3: Cross multiply
    382.69x = 574.03 × 126.19
  4. Step 4: Simplify right side
    382.69x = 72,435.57
  5. Step 5: Solve for x
    x = 72,435.57/382.69
  6. Step 6: Final answer
    x = 189.28

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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.