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Finding the Fourth Proportional to 118.38, 178.32 and 111.18

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Solution

The fourth proportional to 118.38, 178.32 and 111.18 is: 167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.38 : 178.32 = 111.18 : x
  2. Step 2: Convert to fraction form
    118.38/178.32 = 111.18/x
  3. Step 3: Cross multiply
    118.38x = 178.32 × 111.18
  4. Step 4: Simplify right side
    118.38x = 19,825.62
  5. Step 5: Solve for x
    x = 19,825.62/118.38
  6. Step 6: Final answer
    x = 167.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.