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Finding the Fourth Proportional to 220.96, 331.20 and 142.92

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Solution

The fourth proportional to 220.96, 331.20 and 142.92 is: 214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.96 : 331.20 = 142.92 : x
  2. Step 2: Convert to fraction form
    220.96/331.20 = 142.92/x
  3. Step 3: Cross multiply
    220.96x = 331.20 × 142.92
  4. Step 4: Simplify right side
    220.96x = 47,335.10
  5. Step 5: Solve for x
    x = 47,335.10/220.96
  6. Step 6: Final answer
    x = 214.22

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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.