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Finding the Fourth Proportional to 198.78, 273.99 and 133.26

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Solution

The fourth proportional to 198.78, 273.99 and 133.26 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 273.99 = 133.26 : x
  2. Step 2: Convert to fraction form
    198.78/273.99 = 133.26/x
  3. Step 3: Cross multiply
    198.78x = 273.99 × 133.26
  4. Step 4: Simplify right side
    198.78x = 36,511.91
  5. Step 5: Solve for x
    x = 36,511.91/198.78
  6. Step 6: Final answer
    x = 183.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.