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Finding the Fourth Proportional to 326.91, 489.39 and 211.13

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Solution

The fourth proportional to 326.91, 489.39 and 211.13 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.91 : 489.39 = 211.13 : x
  2. Step 2: Convert to fraction form
    326.91/489.39 = 211.13/x
  3. Step 3: Cross multiply
    326.91x = 489.39 × 211.13
  4. Step 4: Simplify right side
    326.91x = 103,324.91
  5. Step 5: Solve for x
    x = 103,324.91/326.91
  6. Step 6: Final answer
    x = 316.07

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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.