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Finding the Fourth Proportional to 219.28, 327.20 and 194.92

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Solution

The fourth proportional to 219.28, 327.20 and 194.92 is: 290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.28 : 327.20 = 194.92 : x
  2. Step 2: Convert to fraction form
    219.28/327.20 = 194.92/x
  3. Step 3: Cross multiply
    219.28x = 327.20 × 194.92
  4. Step 4: Simplify right side
    219.28x = 63,777.82
  5. Step 5: Solve for x
    x = 63,777.82/219.28
  6. Step 6: Final answer
    x = 290.85

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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.