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Finding the Fourth Proportional to 118.43, 176.94 and 116.27

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Solution

The fourth proportional to 118.43, 176.94 and 116.27 is: 173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.43 : 176.94 = 116.27 : x
  2. Step 2: Convert to fraction form
    118.43/176.94 = 116.27/x
  3. Step 3: Cross multiply
    118.43x = 176.94 × 116.27
  4. Step 4: Simplify right side
    118.43x = 20,571.93
  5. Step 5: Solve for x
    x = 20,571.93/118.43
  6. Step 6: Final answer
    x = 173.71

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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.