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Finding the Fourth Proportional to 322.38, 444.90 and 189.64

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Solution

The fourth proportional to 322.38, 444.90 and 189.64 is: 261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 444.90 = 189.64 : x
  2. Step 2: Convert to fraction form
    322.38/444.90 = 189.64/x
  3. Step 3: Cross multiply
    322.38x = 444.90 × 189.64
  4. Step 4: Simplify right side
    322.38x = 84,370.84
  5. Step 5: Solve for x
    x = 84,370.84/322.38
  6. Step 6: Final answer
    x = 261.71

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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.