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Finding the Fourth Proportional to 198.26, 295.49 and 197.96

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Solution

The fourth proportional to 198.26, 295.49 and 197.96 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.26 : 295.49 = 197.96 : x
  2. Step 2: Convert to fraction form
    198.26/295.49 = 197.96/x
  3. Step 3: Cross multiply
    198.26x = 295.49 × 197.96
  4. Step 4: Simplify right side
    198.26x = 58,494.22
  5. Step 5: Solve for x
    x = 58,494.22/198.26
  6. Step 6: Final answer
    x = 295.04

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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.