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Finding the Fourth Proportional to 154.92, 231.30 and 133.26

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Solution

The fourth proportional to 154.92, 231.30 and 133.26 is: 198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.92 : 231.30 = 133.26 : x
  2. Step 2: Convert to fraction form
    154.92/231.30 = 133.26/x
  3. Step 3: Cross multiply
    154.92x = 231.30 × 133.26
  4. Step 4: Simplify right side
    154.92x = 30,823.04
  5. Step 5: Solve for x
    x = 30,823.04/154.92
  6. Step 6: Final answer
    x = 198.96

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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.