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Finding the Fourth Proportional to 146.66, 218.96 and 137.96

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Solution

The fourth proportional to 146.66, 218.96 and 137.96 is: 205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.66 : 218.96 = 137.96 : x
  2. Step 2: Convert to fraction form
    146.66/218.96 = 137.96/x
  3. Step 3: Cross multiply
    146.66x = 218.96 × 137.96
  4. Step 4: Simplify right side
    146.66x = 30,207.72
  5. Step 5: Solve for x
    x = 30,207.72/146.66
  6. Step 6: Final answer
    x = 205.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.