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Finding the Fourth Proportional to 198.79, 273.90 and 143.44

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Solution

The fourth proportional to 198.79, 273.90 and 143.44 is: 197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.79 : 273.90 = 143.44 : x
  2. Step 2: Convert to fraction form
    198.79/273.90 = 143.44/x
  3. Step 3: Cross multiply
    198.79x = 273.90 × 143.44
  4. Step 4: Simplify right side
    198.79x = 39,288.22
  5. Step 5: Solve for x
    x = 39,288.22/198.79
  6. Step 6: Final answer
    x = 197.64

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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.