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Finding the Fourth Proportional to 198.43, 273.98 and 133.08

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Solution

The fourth proportional to 198.43, 273.98 and 133.08 is: 183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.43 : 273.98 = 133.08 : x
  2. Step 2: Convert to fraction form
    198.43/273.98 = 133.08/x
  3. Step 3: Cross multiply
    198.43x = 273.98 × 133.08
  4. Step 4: Simplify right side
    198.43x = 36,461.26
  5. Step 5: Solve for x
    x = 36,461.26/198.43
  6. Step 6: Final answer
    x = 183.75

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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.