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Finding the Fourth Proportional to 219.94, 327.71 and 205.97

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Solution

The fourth proportional to 219.94, 327.71 and 205.97 is: 306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.94 : 327.71 = 205.97 : x
  2. Step 2: Convert to fraction form
    219.94/327.71 = 205.97/x
  3. Step 3: Cross multiply
    219.94x = 327.71 × 205.97
  4. Step 4: Simplify right side
    219.94x = 67,497.31
  5. Step 5: Solve for x
    x = 67,497.31/219.94
  6. Step 6: Final answer
    x = 306.89

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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.