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Finding the Fourth Proportional to 198.20, 295.19 and 185.55

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Solution

The fourth proportional to 198.20, 295.19 and 185.55 is: 276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 295.19 = 185.55 : x
  2. Step 2: Convert to fraction form
    198.20/295.19 = 185.55/x
  3. Step 3: Cross multiply
    198.20x = 295.19 × 185.55
  4. Step 4: Simplify right side
    198.20x = 54,771.58
  5. Step 5: Solve for x
    x = 54,771.58/198.20
  6. Step 6: Final answer
    x = 276.35

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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.