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Finding the Fourth Proportional to 133.09, 199.48 and 81.65

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Solution

The fourth proportional to 133.09, 199.48 and 81.65 is: 122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.09 : 199.48 = 81.65 : x
  2. Step 2: Convert to fraction form
    133.09/199.48 = 81.65/x
  3. Step 3: Cross multiply
    133.09x = 199.48 × 81.65
  4. Step 4: Simplify right side
    133.09x = 16,287.54
  5. Step 5: Solve for x
    x = 16,287.54/133.09
  6. Step 6: Final answer
    x = 122.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.