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Finding the Fourth Proportional to 198.34, 273.79 and 149.23

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Solution

The fourth proportional to 198.34, 273.79 and 149.23 is: 206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 273.79 = 149.23 : x
  2. Step 2: Convert to fraction form
    198.34/273.79 = 149.23/x
  3. Step 3: Cross multiply
    198.34x = 273.79 × 149.23
  4. Step 4: Simplify right side
    198.34x = 40,857.68
  5. Step 5: Solve for x
    x = 40,857.68/198.34
  6. Step 6: Final answer
    x = 206.00

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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.