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Finding the Fourth Proportional to 118.82, 177.09 and 116.42

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Solution

The fourth proportional to 118.82, 177.09 and 116.42 is: 173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.82 : 177.09 = 116.42 : x
  2. Step 2: Convert to fraction form
    118.82/177.09 = 116.42/x
  3. Step 3: Cross multiply
    118.82x = 177.09 × 116.42
  4. Step 4: Simplify right side
    118.82x = 20,616.24
  5. Step 5: Solve for x
    x = 20,616.24/118.82
  6. Step 6: Final answer
    x = 173.51

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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.