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Finding the Fourth Proportional to 118.39, 176.36 and 111.42

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Solution

The fourth proportional to 118.39, 176.36 and 111.42 is: 165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.39 : 176.36 = 111.42 : x
  2. Step 2: Convert to fraction form
    118.39/176.36 = 111.42/x
  3. Step 3: Cross multiply
    118.39x = 176.36 × 111.42
  4. Step 4: Simplify right side
    118.39x = 19,650.03
  5. Step 5: Solve for x
    x = 19,650.03/118.39
  6. Step 6: Final answer
    x = 165.98

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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.