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Finding the Fourth Proportional to 136.81, 206.78 and 136.81

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Solution

The fourth proportional to 136.81, 206.78 and 136.81 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.81 : 206.78 = 136.81 : x
  2. Step 2: Convert to fraction form
    136.81/206.78 = 136.81/x
  3. Step 3: Cross multiply
    136.81x = 206.78 × 136.81
  4. Step 4: Simplify right side
    136.81x = 28,289.57
  5. Step 5: Solve for x
    x = 28,289.57/136.81
  6. Step 6: Final answer
    x = 206.78

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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.