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Finding the Fourth Proportional to 119.38, 177.79 and 116.56

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Solution

The fourth proportional to 119.38, 177.79 and 116.56 is: 173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.38 : 177.79 = 116.56 : x
  2. Step 2: Convert to fraction form
    119.38/177.79 = 116.56/x
  3. Step 3: Cross multiply
    119.38x = 177.79 × 116.56
  4. Step 4: Simplify right side
    119.38x = 20,722.62
  5. Step 5: Solve for x
    x = 20,722.62/119.38
  6. Step 6: Final answer
    x = 173.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.