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Finding the Fourth Proportional to 326.18, 489 and 223.21

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Solution

The fourth proportional to 326.18, 489 and 223.21 is: 334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.18 : 489 = 223.21 : x
  2. Step 2: Convert to fraction form
    326.18/489 = 223.21/x
  3. Step 3: Cross multiply
    326.18x = 489 × 223.21
  4. Step 4: Simplify right side
    326.18x = 109,149.69
  5. Step 5: Solve for x
    x = 109,149.69/326.18
  6. Step 6: Final answer
    x = 334.63

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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.