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Finding the Fourth Proportional to 321.89, 444.33 and 189.23

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Solution

The fourth proportional to 321.89, 444.33 and 189.23 is: 261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.89 : 444.33 = 189.23 : x
  2. Step 2: Convert to fraction form
    321.89/444.33 = 189.23/x
  3. Step 3: Cross multiply
    321.89x = 444.33 × 189.23
  4. Step 4: Simplify right side
    321.89x = 84,080.57
  5. Step 5: Solve for x
    x = 84,080.57/321.89
  6. Step 6: Final answer
    x = 261.21

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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.