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Finding the Fourth Proportional to 322.35, 444.84 and 189.66

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Solution

The fourth proportional to 322.35, 444.84 and 189.66 is: 261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.35 : 444.84 = 189.66 : x
  2. Step 2: Convert to fraction form
    322.35/444.84 = 189.66/x
  3. Step 3: Cross multiply
    322.35x = 444.84 × 189.66
  4. Step 4: Simplify right side
    322.35x = 84,367.88
  5. Step 5: Solve for x
    x = 84,367.88/322.35
  6. Step 6: Final answer
    x = 261.73

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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.