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Finding the Fourth Proportional to 321.81, 444.10 and 189.11

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Solution

The fourth proportional to 321.81, 444.10 and 189.11 is: 260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.81 : 444.10 = 189.11 : x
  2. Step 2: Convert to fraction form
    321.81/444.10 = 189.11/x
  3. Step 3: Cross multiply
    321.81x = 444.10 × 189.11
  4. Step 4: Simplify right side
    321.81x = 83,983.75
  5. Step 5: Solve for x
    x = 83,983.75/321.81
  6. Step 6: Final answer
    x = 260.97

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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.