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Finding the Fourth Proportional to 198.40, 295.97 and 170.80

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Solution

The fourth proportional to 198.40, 295.97 and 170.80 is: 254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.40 : 295.97 = 170.80 : x
  2. Step 2: Convert to fraction form
    198.40/295.97 = 170.80/x
  3. Step 3: Cross multiply
    198.40x = 295.97 × 170.80
  4. Step 4: Simplify right side
    198.40x = 50,551.68
  5. Step 5: Solve for x
    x = 50,551.68/198.40
  6. Step 6: Final answer
    x = 254.80

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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.