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Finding the Fourth Proportional to 186.92, 280.42 and 78.71

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Solution

The fourth proportional to 186.92, 280.42 and 78.71 is: 118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.92 : 280.42 = 78.71 : x
  2. Step 2: Convert to fraction form
    186.92/280.42 = 78.71/x
  3. Step 3: Cross multiply
    186.92x = 280.42 × 78.71
  4. Step 4: Simplify right side
    186.92x = 22,070.26
  5. Step 5: Solve for x
    x = 22,070.26/186.92
  6. Step 6: Final answer
    x = 118.07

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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.