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Finding the Fourth Proportional to 118.27, 176.41 and 111.50

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Solution

The fourth proportional to 118.27, 176.41 and 111.50 is: 166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.27 : 176.41 = 111.50 : x
  2. Step 2: Convert to fraction form
    118.27/176.41 = 111.50/x
  3. Step 3: Cross multiply
    118.27x = 176.41 × 111.50
  4. Step 4: Simplify right side
    118.27x = 19,668.55
  5. Step 5: Solve for x
    x = 19,668.55/118.27
  6. Step 6: Final answer
    x = 166.31

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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.