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Finding the Fourth Proportional to 216.60, 323.52 and 196.44

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Solution

The fourth proportional to 216.60, 323.52 and 196.44 is: 293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.60 : 323.52 = 196.44 : x
  2. Step 2: Convert to fraction form
    216.60/323.52 = 196.44/x
  3. Step 3: Cross multiply
    216.60x = 323.52 × 196.44
  4. Step 4: Simplify right side
    216.60x = 63,552.27
  5. Step 5: Solve for x
    x = 63,552.27/216.60
  6. Step 6: Final answer
    x = 293.41

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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.