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Finding the Fourth Proportional to 137.13, 204.59 and 116.61

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Solution

The fourth proportional to 137.13, 204.59 and 116.61 is: 173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.13 : 204.59 = 116.61 : x
  2. Step 2: Convert to fraction form
    137.13/204.59 = 116.61/x
  3. Step 3: Cross multiply
    137.13x = 204.59 × 116.61
  4. Step 4: Simplify right side
    137.13x = 23,856.66
  5. Step 5: Solve for x
    x = 23,856.66/137.13
  6. Step 6: Final answer
    x = 173.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.