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Finding the Fourth Proportional to 326.82, 491.01 and 211.29

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Solution

The fourth proportional to 326.82, 491.01 and 211.29 is: 317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.82 : 491.01 = 211.29 : x
  2. Step 2: Convert to fraction form
    326.82/491.01 = 211.29/x
  3. Step 3: Cross multiply
    326.82x = 491.01 × 211.29
  4. Step 4: Simplify right side
    326.82x = 103,745.50
  5. Step 5: Solve for x
    x = 103,745.50/326.82
  6. Step 6: Final answer
    x = 317.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.