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Finding the Fourth Proportional to 118.39, 177.29 and 99.09

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Solution

The fourth proportional to 118.39, 177.29 and 99.09 is: 148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.39 : 177.29 = 99.09 : x
  2. Step 2: Convert to fraction form
    118.39/177.29 = 99.09/x
  3. Step 3: Cross multiply
    118.39x = 177.29 × 99.09
  4. Step 4: Simplify right side
    118.39x = 17,567.30
  5. Step 5: Solve for x
    x = 17,567.30/118.39
  6. Step 6: Final answer
    x = 148.38

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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.