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Finding the Fourth Proportional to 216.85, 323.46 and 196.33

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Solution

The fourth proportional to 216.85, 323.46 and 196.33 is: 292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.85 : 323.46 = 196.33 : x
  2. Step 2: Convert to fraction form
    216.85/323.46 = 196.33/x
  3. Step 3: Cross multiply
    216.85x = 323.46 × 196.33
  4. Step 4: Simplify right side
    216.85x = 63,504.83
  5. Step 5: Solve for x
    x = 63,504.83/216.85
  6. Step 6: Final answer
    x = 292.85

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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.