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Finding the Fourth Proportional to 136.91, 206.42 and 110.18

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Solution

The fourth proportional to 136.91, 206.42 and 110.18 is: 166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.91 : 206.42 = 110.18 : x
  2. Step 2: Convert to fraction form
    136.91/206.42 = 110.18/x
  3. Step 3: Cross multiply
    136.91x = 206.42 × 110.18
  4. Step 4: Simplify right side
    136.91x = 22,741.77
  5. Step 5: Solve for x
    x = 22,741.77/136.91
  6. Step 6: Final answer
    x = 166.11

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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.