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Finding the Fourth Proportional to 198.05, 273.25 and 119.35

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Solution

The fourth proportional to 198.05, 273.25 and 119.35 is: 164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.05 : 273.25 = 119.35 : x
  2. Step 2: Convert to fraction form
    198.05/273.25 = 119.35/x
  3. Step 3: Cross multiply
    198.05x = 273.25 × 119.35
  4. Step 4: Simplify right side
    198.05x = 32,611.02
  5. Step 5: Solve for x
    x = 32,611.02/198.05
  6. Step 6: Final answer
    x = 164.66

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Why These Related Problems?

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