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Finding the Fourth Proportional to 321.63, 443.44 and 211.13

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Solution

The fourth proportional to 321.63, 443.44 and 211.13 is: 291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.63 : 443.44 = 211.13 : x
  2. Step 2: Convert to fraction form
    321.63/443.44 = 211.13/x
  3. Step 3: Cross multiply
    321.63x = 443.44 × 211.13
  4. Step 4: Simplify right side
    321.63x = 93,623.49
  5. Step 5: Solve for x
    x = 93,623.49/321.63
  6. Step 6: Final answer
    x = 291.09

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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.