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Finding the Fourth Proportional to 220.87, 331.35 and 196.75

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Solution

The fourth proportional to 220.87, 331.35 and 196.75 is: 295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.87 : 331.35 = 196.75 : x
  2. Step 2: Convert to fraction form
    220.87/331.35 = 196.75/x
  3. Step 3: Cross multiply
    220.87x = 331.35 × 196.75
  4. Step 4: Simplify right side
    220.87x = 65,193.11
  5. Step 5: Solve for x
    x = 65,193.11/220.87
  6. Step 6: Final answer
    x = 295.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.