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Finding the Fourth Proportional to 137.92, 190.56 and 114.88

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Solution

The fourth proportional to 137.92, 190.56 and 114.88 is: 158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 190.56 = 114.88 : x
  2. Step 2: Convert to fraction form
    137.92/190.56 = 114.88/x
  3. Step 3: Cross multiply
    137.92x = 190.56 × 114.88
  4. Step 4: Simplify right side
    137.92x = 21,891.53
  5. Step 5: Solve for x
    x = 21,891.53/137.92
  6. Step 6: Final answer
    x = 158.73

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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.