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Finding the Fourth Proportional to 137.91, 207.92 and 111.18

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Solution

The fourth proportional to 137.91, 207.92 and 111.18 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.91 : 207.92 = 111.18 : x
  2. Step 2: Convert to fraction form
    137.91/207.92 = 111.18/x
  3. Step 3: Cross multiply
    137.91x = 207.92 × 111.18
  4. Step 4: Simplify right side
    137.91x = 23,116.55
  5. Step 5: Solve for x
    x = 23,116.55/137.91
  6. Step 6: Final answer
    x = 167.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.