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Finding the Fourth Proportional to 219.92, 327.69 and 195.68

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Solution

The fourth proportional to 219.92, 327.69 and 195.68 is: 291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.92 : 327.69 = 195.68 : x
  2. Step 2: Convert to fraction form
    219.92/327.69 = 195.68/x
  3. Step 3: Cross multiply
    219.92x = 327.69 × 195.68
  4. Step 4: Simplify right side
    219.92x = 64,122.65
  5. Step 5: Solve for x
    x = 64,122.65/219.92
  6. Step 6: Final answer
    x = 291.58

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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.