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Finding the Fourth Proportional to 321.72, 443.56 and 211

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Solution

The fourth proportional to 321.72, 443.56 and 211 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 443.56 = 211 : x
  2. Step 2: Convert to fraction form
    321.72/443.56 = 211/x
  3. Step 3: Cross multiply
    321.72x = 443.56 × 211
  4. Step 4: Simplify right side
    321.72x = 93,590.11
  5. Step 5: Solve for x
    x = 93,590.11/321.72
  6. Step 6: Final answer
    x = 290.91

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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.