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Finding the Fourth Proportional to 136.89, 204.12 and 135.27

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Solution

The fourth proportional to 136.89, 204.12 and 135.27 is: 201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.89 : 204.12 = 135.27 : x
  2. Step 2: Convert to fraction form
    136.89/204.12 = 135.27/x
  3. Step 3: Cross multiply
    136.89x = 204.12 × 135.27
  4. Step 4: Simplify right side
    136.89x = 27,611.31
  5. Step 5: Solve for x
    x = 27,611.31/136.89
  6. Step 6: Final answer
    x = 201.70

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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.