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Finding the Fourth Proportional to 186.86, 280.32 and 78.64

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Solution

The fourth proportional to 186.86, 280.32 and 78.64 is: 117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 280.32 = 78.64 : x
  2. Step 2: Convert to fraction form
    186.86/280.32 = 78.64/x
  3. Step 3: Cross multiply
    186.86x = 280.32 × 78.64
  4. Step 4: Simplify right side
    186.86x = 22,042.96
  5. Step 5: Solve for x
    x = 22,042.96/186.86
  6. Step 6: Final answer
    x = 117.97

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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.