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Finding the Fourth Proportional to 326.92, 490.27 and 211.49

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Solution

The fourth proportional to 326.92, 490.27 and 211.49 is: 317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.92 : 490.27 = 211.49 : x
  2. Step 2: Convert to fraction form
    326.92/490.27 = 211.49/x
  3. Step 3: Cross multiply
    326.92x = 490.27 × 211.49
  4. Step 4: Simplify right side
    326.92x = 103,687.20
  5. Step 5: Solve for x
    x = 103,687.20/326.92
  6. Step 6: Final answer
    x = 317.16

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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.