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Finding the Fourth Proportional to 136.71, 206.26 and 135.09

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Solution

The fourth proportional to 136.71, 206.26 and 135.09 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.71 : 206.26 = 135.09 : x
  2. Step 2: Convert to fraction form
    136.71/206.26 = 135.09/x
  3. Step 3: Cross multiply
    136.71x = 206.26 × 135.09
  4. Step 4: Simplify right side
    136.71x = 27,863.33
  5. Step 5: Solve for x
    x = 27,863.33/136.71
  6. Step 6: Final answer
    x = 203.81

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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.