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Finding the Fourth Proportional to 222.72, 332.49 and 198.42

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Solution

The fourth proportional to 222.72, 332.49 and 198.42 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.72 : 332.49 = 198.42 : x
  2. Step 2: Convert to fraction form
    222.72/332.49 = 198.42/x
  3. Step 3: Cross multiply
    222.72x = 332.49 × 198.42
  4. Step 4: Simplify right side
    222.72x = 65,972.67
  5. Step 5: Solve for x
    x = 65,972.67/222.72
  6. Step 6: Final answer
    x = 296.21

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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.