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Finding the Fourth Proportional to 131.38, 196.09 and 122.74

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Solution

The fourth proportional to 131.38, 196.09 and 122.74 is: 183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.38 : 196.09 = 122.74 : x
  2. Step 2: Convert to fraction form
    131.38/196.09 = 122.74/x
  3. Step 3: Cross multiply
    131.38x = 196.09 × 122.74
  4. Step 4: Simplify right side
    131.38x = 24,067.47
  5. Step 5: Solve for x
    x = 24,067.47/131.38
  6. Step 6: Final answer
    x = 183.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.