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Finding the Fourth Proportional to 118.98, 177.07 and 113.86

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Solution

The fourth proportional to 118.98, 177.07 and 113.86 is: 169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.98 : 177.07 = 113.86 : x
  2. Step 2: Convert to fraction form
    118.98/177.07 = 113.86/x
  3. Step 3: Cross multiply
    118.98x = 177.07 × 113.86
  4. Step 4: Simplify right side
    118.98x = 20,160.62
  5. Step 5: Solve for x
    x = 20,160.62/118.98
  6. Step 6: Final answer
    x = 169.45

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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.