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Finding the Fourth Proportional to 118.20, 176.55 and 114.96

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Solution

The fourth proportional to 118.20, 176.55 and 114.96 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.20 : 176.55 = 114.96 : x
  2. Step 2: Convert to fraction form
    118.20/176.55 = 114.96/x
  3. Step 3: Cross multiply
    118.20x = 176.55 × 114.96
  4. Step 4: Simplify right side
    118.20x = 20,296.19
  5. Step 5: Solve for x
    x = 20,296.19/118.20
  6. Step 6: Final answer
    x = 171.71

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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.