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Finding the Fourth Proportional to 217.83, 326.54 and 80.78

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Solution

The fourth proportional to 217.83, 326.54 and 80.78 is: 121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.83 : 326.54 = 80.78 : x
  2. Step 2: Convert to fraction form
    217.83/326.54 = 80.78/x
  3. Step 3: Cross multiply
    217.83x = 326.54 × 80.78
  4. Step 4: Simplify right side
    217.83x = 26,376.27
  5. Step 5: Solve for x
    x = 26,376.27/217.83
  6. Step 6: Final answer
    x = 121.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.