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Finding the Fourth Proportional to 146.38, 220.60 and 131.95

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Solution

The fourth proportional to 146.38, 220.60 and 131.95 is: 198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.38 : 220.60 = 131.95 : x
  2. Step 2: Convert to fraction form
    146.38/220.60 = 131.95/x
  3. Step 3: Cross multiply
    146.38x = 220.60 × 131.95
  4. Step 4: Simplify right side
    146.38x = 29,108.17
  5. Step 5: Solve for x
    x = 29,108.17/146.38
  6. Step 6: Final answer
    x = 198.85

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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.