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Finding the Fourth Proportional to 119.70, 179.20 and 85.27

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Solution

The fourth proportional to 119.70, 179.20 and 85.27 is: 127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.70 : 179.20 = 85.27 : x
  2. Step 2: Convert to fraction form
    119.70/179.20 = 85.27/x
  3. Step 3: Cross multiply
    119.70x = 179.20 × 85.27
  4. Step 4: Simplify right side
    119.70x = 15,280.38
  5. Step 5: Solve for x
    x = 15,280.38/119.70
  6. Step 6: Final answer
    x = 127.66

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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.