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Finding the Fourth Proportional to 118.76, 178.97 and 115.52

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Solution

The fourth proportional to 118.76, 178.97 and 115.52 is: 174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.76 : 178.97 = 115.52 : x
  2. Step 2: Convert to fraction form
    118.76/178.97 = 115.52/x
  3. Step 3: Cross multiply
    118.76x = 178.97 × 115.52
  4. Step 4: Simplify right side
    118.76x = 20,673.14
  5. Step 5: Solve for x
    x = 20,673.14/118.76
  6. Step 6: Final answer
    x = 174.08

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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.