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Finding the Fourth Proportional to 118.78, 176.72 and 113.78

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Solution

The fourth proportional to 118.78, 176.72 and 113.78 is: 169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.78 : 176.72 = 113.78 : x
  2. Step 2: Convert to fraction form
    118.78/176.72 = 113.78/x
  3. Step 3: Cross multiply
    118.78x = 176.72 × 113.78
  4. Step 4: Simplify right side
    118.78x = 20,107.20
  5. Step 5: Solve for x
    x = 20,107.20/118.78
  6. Step 6: Final answer
    x = 169.28

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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.