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Finding the Fourth Proportional to 118.11, 175.77 and 113.79

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Solution

The fourth proportional to 118.11, 175.77 and 113.79 is: 169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.11 : 175.77 = 113.79 : x
  2. Step 2: Convert to fraction form
    118.11/175.77 = 113.79/x
  3. Step 3: Cross multiply
    118.11x = 175.77 × 113.79
  4. Step 4: Simplify right side
    118.11x = 20,000.87
  5. Step 5: Solve for x
    x = 20,000.87/118.11
  6. Step 6: Final answer
    x = 169.34

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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.