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Finding the Fourth Proportional to 144.46, 198.11 and 138.88

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Solution

The fourth proportional to 144.46, 198.11 and 138.88 is: 190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.46 : 198.11 = 138.88 : x
  2. Step 2: Convert to fraction form
    144.46/198.11 = 138.88/x
  3. Step 3: Cross multiply
    144.46x = 198.11 × 138.88
  4. Step 4: Simplify right side
    144.46x = 27,513.52
  5. Step 5: Solve for x
    x = 27,513.52/144.46
  6. Step 6: Final answer
    x = 190.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.