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Finding the Fourth Proportional to 322.69, 445.44 and 189.97

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Solution

The fourth proportional to 322.69, 445.44 and 189.97 is: 262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.69 : 445.44 = 189.97 : x
  2. Step 2: Convert to fraction form
    322.69/445.44 = 189.97/x
  3. Step 3: Cross multiply
    322.69x = 445.44 × 189.97
  4. Step 4: Simplify right side
    322.69x = 84,620.24
  5. Step 5: Solve for x
    x = 84,620.24/322.69
  6. Step 6: Final answer
    x = 262.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.