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Finding the Fourth Proportional to 118.66, 177.91 and 99.52

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Solution

The fourth proportional to 118.66, 177.91 and 99.52 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.66 : 177.91 = 99.52 : x
  2. Step 2: Convert to fraction form
    118.66/177.91 = 99.52/x
  3. Step 3: Cross multiply
    118.66x = 177.91 × 99.52
  4. Step 4: Simplify right side
    118.66x = 17,705.60
  5. Step 5: Solve for x
    x = 17,705.60/118.66
  6. Step 6: Final answer
    x = 149.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.