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Finding the Fourth Proportional to 326.57, 489.86 and 83.09

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Solution

The fourth proportional to 326.57, 489.86 and 83.09 is: 124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.57 : 489.86 = 83.09 : x
  2. Step 2: Convert to fraction form
    326.57/489.86 = 83.09/x
  3. Step 3: Cross multiply
    326.57x = 489.86 × 83.09
  4. Step 4: Simplify right side
    326.57x = 40,703.89
  5. Step 5: Solve for x
    x = 40,703.89/326.57
  6. Step 6: Final answer
    x = 124.64

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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.