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Finding the Fourth Proportional to 240.26, 331.38 and 146.97

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Solution

The fourth proportional to 240.26, 331.38 and 146.97 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.26 : 331.38 = 146.97 : x
  2. Step 2: Convert to fraction form
    240.26/331.38 = 146.97/x
  3. Step 3: Cross multiply
    240.26x = 331.38 × 146.97
  4. Step 4: Simplify right side
    240.26x = 48,702.92
  5. Step 5: Solve for x
    x = 48,702.92/240.26
  6. Step 6: Final answer
    x = 202.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.