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Finding the Fourth Proportional to 154.38, 232.49 and 130.22

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Solution

The fourth proportional to 154.38, 232.49 and 130.22 is: 196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.38 : 232.49 = 130.22 : x
  2. Step 2: Convert to fraction form
    154.38/232.49 = 130.22/x
  3. Step 3: Cross multiply
    154.38x = 232.49 × 130.22
  4. Step 4: Simplify right side
    154.38x = 30,273.03
  5. Step 5: Solve for x
    x = 30,273.03/154.38
  6. Step 6: Final answer
    x = 196.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.