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Finding the Fourth Proportional to 240.75, 331.38 and 196.32

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Solution

The fourth proportional to 240.75, 331.38 and 196.32 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 331.38 = 196.32 : x
  2. Step 2: Convert to fraction form
    240.75/331.38 = 196.32/x
  3. Step 3: Cross multiply
    240.75x = 331.38 × 196.32
  4. Step 4: Simplify right side
    240.75x = 65,056.52
  5. Step 5: Solve for x
    x = 65,056.52/240.75
  6. Step 6: Final answer
    x = 270.22

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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.