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Finding the Fourth Proportional to 120.20, 179.82 and 76.86

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Solution

The fourth proportional to 120.20, 179.82 and 76.86 is: 114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.20 : 179.82 = 76.86 : x
  2. Step 2: Convert to fraction form
    120.20/179.82 = 76.86/x
  3. Step 3: Cross multiply
    120.20x = 179.82 × 76.86
  4. Step 4: Simplify right side
    120.20x = 13,820.97
  5. Step 5: Solve for x
    x = 13,820.97/120.20
  6. Step 6: Final answer
    x = 114.98

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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.