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Finding the Fourth Proportional to 118.43, 176.84 and 111.68

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Solution

The fourth proportional to 118.43, 176.84 and 111.68 is: 166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.43 : 176.84 = 111.68 : x
  2. Step 2: Convert to fraction form
    118.43/176.84 = 111.68/x
  3. Step 3: Cross multiply
    118.43x = 176.84 × 111.68
  4. Step 4: Simplify right side
    118.43x = 19,749.49
  5. Step 5: Solve for x
    x = 19,749.49/118.43
  6. Step 6: Final answer
    x = 166.76

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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.