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Finding the Fourth Proportional to 186.88, 280.41 and 129.19

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Solution

The fourth proportional to 186.88, 280.41 and 129.19 is: 193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.88 : 280.41 = 129.19 : x
  2. Step 2: Convert to fraction form
    186.88/280.41 = 129.19/x
  3. Step 3: Cross multiply
    186.88x = 280.41 × 129.19
  4. Step 4: Simplify right side
    186.88x = 36,226.17
  5. Step 5: Solve for x
    x = 36,226.17/186.88
  6. Step 6: Final answer
    x = 193.85

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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.