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Finding the Fourth Proportional to 118.22, 176.32 and 114.80

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Solution

The fourth proportional to 118.22, 176.32 and 114.80 is: 171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.22 : 176.32 = 114.80 : x
  2. Step 2: Convert to fraction form
    118.22/176.32 = 114.80/x
  3. Step 3: Cross multiply
    118.22x = 176.32 × 114.80
  4. Step 4: Simplify right side
    118.22x = 20,241.54
  5. Step 5: Solve for x
    x = 20,241.54/118.22
  6. Step 6: Final answer
    x = 171.22

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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.