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Finding the Fourth Proportional to 222.47, 332.01 and 198.17

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Solution

The fourth proportional to 222.47, 332.01 and 198.17 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.47 : 332.01 = 198.17 : x
  2. Step 2: Convert to fraction form
    222.47/332.01 = 198.17/x
  3. Step 3: Cross multiply
    222.47x = 332.01 × 198.17
  4. Step 4: Simplify right side
    222.47x = 65,793.43
  5. Step 5: Solve for x
    x = 65,793.43/222.47
  6. Step 6: Final answer
    x = 295.74

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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.