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Finding the Fourth Proportional to 220.66, 331.09 and 83.75

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Solution

The fourth proportional to 220.66, 331.09 and 83.75 is: 125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.66 : 331.09 = 83.75 : x
  2. Step 2: Convert to fraction form
    220.66/331.09 = 83.75/x
  3. Step 3: Cross multiply
    220.66x = 331.09 × 83.75
  4. Step 4: Simplify right side
    220.66x = 27,728.79
  5. Step 5: Solve for x
    x = 27,728.79/220.66
  6. Step 6: Final answer
    x = 125.66

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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.