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Finding the Fourth Proportional to 216.92, 323.61 and 197.43

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Solution

The fourth proportional to 216.92, 323.61 and 197.43 is: 294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.92 : 323.61 = 197.43 : x
  2. Step 2: Convert to fraction form
    216.92/323.61 = 197.43/x
  3. Step 3: Cross multiply
    216.92x = 323.61 × 197.43
  4. Step 4: Simplify right side
    216.92x = 63,890.32
  5. Step 5: Solve for x
    x = 63,890.32/216.92
  6. Step 6: Final answer
    x = 294.54

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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.