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Finding the Fourth Proportional to 118.88, 177.67 and 116.13

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Solution

The fourth proportional to 118.88, 177.67 and 116.13 is: 173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.88 : 177.67 = 116.13 : x
  2. Step 2: Convert to fraction form
    118.88/177.67 = 116.13/x
  3. Step 3: Cross multiply
    118.88x = 177.67 × 116.13
  4. Step 4: Simplify right side
    118.88x = 20,632.82
  5. Step 5: Solve for x
    x = 20,632.82/118.88
  6. Step 6: Final answer
    x = 173.56

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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.