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Finding the Fourth Proportional to 119.20, 178.38 and 88.68

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Solution

The fourth proportional to 119.20, 178.38 and 88.68 is: 132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.20 : 178.38 = 88.68 : x
  2. Step 2: Convert to fraction form
    119.20/178.38 = 88.68/x
  3. Step 3: Cross multiply
    119.20x = 178.38 × 88.68
  4. Step 4: Simplify right side
    119.20x = 15,818.74
  5. Step 5: Solve for x
    x = 15,818.74/119.20
  6. Step 6: Final answer
    x = 132.71

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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.