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Finding the Fourth Proportional to 198.60, 297.88 and 169.80

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Solution

The fourth proportional to 198.60, 297.88 and 169.80 is: 254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.60 : 297.88 = 169.80 : x
  2. Step 2: Convert to fraction form
    198.60/297.88 = 169.80/x
  3. Step 3: Cross multiply
    198.60x = 297.88 × 169.80
  4. Step 4: Simplify right side
    198.60x = 50,580.02
  5. Step 5: Solve for x
    x = 50,580.02/198.60
  6. Step 6: Final answer
    x = 254.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.