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Finding the Fourth Proportional to 220.46, 332.24 and 198.82

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Solution

The fourth proportional to 220.46, 332.24 and 198.82 is: 299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.46 : 332.24 = 198.82 : x
  2. Step 2: Convert to fraction form
    220.46/332.24 = 198.82/x
  3. Step 3: Cross multiply
    220.46x = 332.24 × 198.82
  4. Step 4: Simplify right side
    220.46x = 66,055.38
  5. Step 5: Solve for x
    x = 66,055.38/220.46
  6. Step 6: Final answer
    x = 299.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.