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Finding the Fourth Proportional to 144.38, 198.91 and 136.68

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Solution

The fourth proportional to 144.38, 198.91 and 136.68 is: 188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.38 : 198.91 = 136.68 : x
  2. Step 2: Convert to fraction form
    144.38/198.91 = 136.68/x
  3. Step 3: Cross multiply
    144.38x = 198.91 × 136.68
  4. Step 4: Simplify right side
    144.38x = 27,187.02
  5. Step 5: Solve for x
    x = 27,187.02/144.38
  6. Step 6: Final answer
    x = 188.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.