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Finding the Fourth Proportional to 322.14, 444.49 and 209.89

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Solution

The fourth proportional to 322.14, 444.49 and 209.89 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 444.49 = 209.89 : x
  2. Step 2: Convert to fraction form
    322.14/444.49 = 209.89/x
  3. Step 3: Cross multiply
    322.14x = 444.49 × 209.89
  4. Step 4: Simplify right side
    322.14x = 93,294.01
  5. Step 5: Solve for x
    x = 93,294.01/322.14
  6. Step 6: Final answer
    x = 289.61

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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.