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Finding the Fourth Proportional to 222.28, 331.67 and 197.92

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Solution

The fourth proportional to 222.28, 331.67 and 197.92 is: 295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.28 : 331.67 = 197.92 : x
  2. Step 2: Convert to fraction form
    222.28/331.67 = 197.92/x
  3. Step 3: Cross multiply
    222.28x = 331.67 × 197.92
  4. Step 4: Simplify right side
    222.28x = 65,644.13
  5. Step 5: Solve for x
    x = 65,644.13/222.28
  6. Step 6: Final answer
    x = 295.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.