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Finding the Fourth Proportional to 198.02, 273.18 and 135.86

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Solution

The fourth proportional to 198.02, 273.18 and 135.86 is: 187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.02 : 273.18 = 135.86 : x
  2. Step 2: Convert to fraction form
    198.02/273.18 = 135.86/x
  3. Step 3: Cross multiply
    198.02x = 273.18 × 135.86
  4. Step 4: Simplify right side
    198.02x = 37,114.23
  5. Step 5: Solve for x
    x = 37,114.23/198.02
  6. Step 6: Final answer
    x = 187.43

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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.