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Finding the Fourth Proportional to 154.40, 231.83 and 132.97

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Solution

The fourth proportional to 154.40, 231.83 and 132.97 is: 199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.40 : 231.83 = 132.97 : x
  2. Step 2: Convert to fraction form
    154.40/231.83 = 132.97/x
  3. Step 3: Cross multiply
    154.40x = 231.83 × 132.97
  4. Step 4: Simplify right side
    154.40x = 30,826.44
  5. Step 5: Solve for x
    x = 30,826.44/154.40
  6. Step 6: Final answer
    x = 199.65

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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.