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Finding the Fourth Proportional to 118.25, 176.06 and 116.55

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Solution

The fourth proportional to 118.25, 176.06 and 116.55 is: 173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.25 : 176.06 = 116.55 : x
  2. Step 2: Convert to fraction form
    118.25/176.06 = 116.55/x
  3. Step 3: Cross multiply
    118.25x = 176.06 × 116.55
  4. Step 4: Simplify right side
    118.25x = 20,519.59
  5. Step 5: Solve for x
    x = 20,519.59/118.25
  6. Step 6: Final answer
    x = 173.52

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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.