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Finding the Fourth Proportional to 326.62, 489.92 and 83.16

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Solution

The fourth proportional to 326.62, 489.92 and 83.16 is: 124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.62 : 489.92 = 83.16 : x
  2. Step 2: Convert to fraction form
    326.62/489.92 = 83.16/x
  3. Step 3: Cross multiply
    326.62x = 489.92 × 83.16
  4. Step 4: Simplify right side
    326.62x = 40,741.80
  5. Step 5: Solve for x
    x = 40,741.80/326.62
  6. Step 6: Final answer
    x = 124.74

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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.