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Finding the Fourth Proportional to 198.05, 297.04 and 53.74

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Solution

The fourth proportional to 198.05, 297.04 and 53.74 is: 80.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.05 : 297.04 = 53.74 : x
  2. Step 2: Convert to fraction form
    198.05/297.04 = 53.74/x
  3. Step 3: Cross multiply
    198.05x = 297.04 × 53.74
  4. Step 4: Simplify right side
    198.05x = 15,961.44
  5. Step 5: Solve for x
    x = 15,961.44/198.05
  6. Step 6: Final answer
    x = 80.59

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