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Finding the Fourth Proportional to 137.98, 190.42 and 82.68

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Solution

The fourth proportional to 137.98, 190.42 and 82.68 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.98 : 190.42 = 82.68 : x
  2. Step 2: Convert to fraction form
    137.98/190.42 = 82.68/x
  3. Step 3: Cross multiply
    137.98x = 190.42 × 82.68
  4. Step 4: Simplify right side
    137.98x = 15,743.93
  5. Step 5: Solve for x
    x = 15,743.93/137.98
  6. Step 6: Final answer
    x = 114.10

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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.