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Finding the Fourth Proportional to 118.27, 176.29 and 112.18

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Solution

The fourth proportional to 118.27, 176.29 and 112.18 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.27 : 176.29 = 112.18 : x
  2. Step 2: Convert to fraction form
    118.27/176.29 = 112.18/x
  3. Step 3: Cross multiply
    118.27x = 176.29 × 112.18
  4. Step 4: Simplify right side
    118.27x = 19,776.21
  5. Step 5: Solve for x
    x = 19,776.21/118.27
  6. Step 6: Final answer
    x = 167.21

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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.