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Finding the Fourth Proportional to 198.49, 273.85 and 133.06

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Solution

The fourth proportional to 198.49, 273.85 and 133.06 is: 183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.49 : 273.85 = 133.06 : x
  2. Step 2: Convert to fraction form
    198.49/273.85 = 133.06/x
  3. Step 3: Cross multiply
    198.49x = 273.85 × 133.06
  4. Step 4: Simplify right side
    198.49x = 36,438.48
  5. Step 5: Solve for x
    x = 36,438.48/198.49
  6. Step 6: Final answer
    x = 183.58

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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.