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Finding the Fourth Proportional to 179.98, 269.97 and 77.28

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Solution

The fourth proportional to 179.98, 269.97 and 77.28 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.98 : 269.97 = 77.28 : x
  2. Step 2: Convert to fraction form
    179.98/269.97 = 77.28/x
  3. Step 3: Cross multiply
    179.98x = 269.97 × 77.28
  4. Step 4: Simplify right side
    179.98x = 20,863.28
  5. Step 5: Solve for x
    x = 20,863.28/179.98
  6. Step 6: Final answer
    x = 115.92

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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.