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Finding the Fourth Proportional to 137.24, 204.92 and 116.94

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Solution

The fourth proportional to 137.24, 204.92 and 116.94 is: 174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 204.92 = 116.94 : x
  2. Step 2: Convert to fraction form
    137.24/204.92 = 116.94/x
  3. Step 3: Cross multiply
    137.24x = 204.92 × 116.94
  4. Step 4: Simplify right side
    137.24x = 23,963.34
  5. Step 5: Solve for x
    x = 23,963.34/137.24
  6. Step 6: Final answer
    x = 174.61

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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.