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Finding the Fourth Proportional to 300.69, 451.22 and 163.73

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Solution

The fourth proportional to 300.69, 451.22 and 163.73 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.69 : 451.22 = 163.73 : x
  2. Step 2: Convert to fraction form
    300.69/451.22 = 163.73/x
  3. Step 3: Cross multiply
    300.69x = 451.22 × 163.73
  4. Step 4: Simplify right side
    300.69x = 73,878.56
  5. Step 5: Solve for x
    x = 73,878.56/300.69
  6. Step 6: Final answer
    x = 245.70

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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.