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Finding the Fourth Proportional to 220.46, 332.31 and 201.97

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Solution

The fourth proportional to 220.46, 332.31 and 201.97 is: 304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.46 : 332.31 = 201.97 : x
  2. Step 2: Convert to fraction form
    220.46/332.31 = 201.97/x
  3. Step 3: Cross multiply
    220.46x = 332.31 × 201.97
  4. Step 4: Simplify right side
    220.46x = 67,117.07
  5. Step 5: Solve for x
    x = 67,117.07/220.46
  6. Step 6: Final answer
    x = 304.44

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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.