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Finding the Fourth Proportional to 146.62, 218.50 and 137.97

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Solution

The fourth proportional to 146.62, 218.50 and 137.97 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.62 : 218.50 = 137.97 : x
  2. Step 2: Convert to fraction form
    146.62/218.50 = 137.97/x
  3. Step 3: Cross multiply
    146.62x = 218.50 × 137.97
  4. Step 4: Simplify right side
    146.62x = 30,146.45
  5. Step 5: Solve for x
    x = 30,146.45/146.62
  6. Step 6: Final answer
    x = 205.61

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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.