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Finding the Fourth Proportional to 321.14, 443.11 and 208.89

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Solution

The fourth proportional to 321.14, 443.11 and 208.89 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.14 : 443.11 = 208.89 : x
  2. Step 2: Convert to fraction form
    321.14/443.11 = 208.89/x
  3. Step 3: Cross multiply
    321.14x = 443.11 × 208.89
  4. Step 4: Simplify right side
    321.14x = 92,561.25
  5. Step 5: Solve for x
    x = 92,561.25/321.14
  6. Step 6: Final answer
    x = 288.23

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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.