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Finding the Fourth Proportional to 198.36, 296.28 and 163.80

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Solution

The fourth proportional to 198.36, 296.28 and 163.80 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 296.28 = 163.80 : x
  2. Step 2: Convert to fraction form
    198.36/296.28 = 163.80/x
  3. Step 3: Cross multiply
    198.36x = 296.28 × 163.80
  4. Step 4: Simplify right side
    198.36x = 48,530.66
  5. Step 5: Solve for x
    x = 48,530.66/198.36
  6. Step 6: Final answer
    x = 244.66

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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.