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Finding the Fourth Proportional to 159.92, 240.11 and 154.46

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Solution

The fourth proportional to 159.92, 240.11 and 154.46 is: 231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 240.11 = 154.46 : x
  2. Step 2: Convert to fraction form
    159.92/240.11 = 154.46/x
  3. Step 3: Cross multiply
    159.92x = 240.11 × 154.46
  4. Step 4: Simplify right side
    159.92x = 37,087.32
  5. Step 5: Solve for x
    x = 37,087.32/159.92
  6. Step 6: Final answer
    x = 231.91

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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.