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Finding the Fourth Proportional to 326.88, 489.90 and 164.61

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Solution

The fourth proportional to 326.88, 489.90 and 164.61 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.88 : 489.90 = 164.61 : x
  2. Step 2: Convert to fraction form
    326.88/489.90 = 164.61/x
  3. Step 3: Cross multiply
    326.88x = 489.90 × 164.61
  4. Step 4: Simplify right side
    326.88x = 80,642.44
  5. Step 5: Solve for x
    x = 80,642.44/326.88
  6. Step 6: Final answer
    x = 246.70

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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.