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Finding the Fourth Proportional to 137.70, 205.05 and 136.18

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Solution

The fourth proportional to 137.70, 205.05 and 136.18 is: 202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 205.05 = 136.18 : x
  2. Step 2: Convert to fraction form
    137.70/205.05 = 136.18/x
  3. Step 3: Cross multiply
    137.70x = 205.05 × 136.18
  4. Step 4: Simplify right side
    137.70x = 27,923.03
  5. Step 5: Solve for x
    x = 27,923.03/137.70
  6. Step 6: Final answer
    x = 202.79

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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.