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Finding the Fourth Proportional to 395.08, 589.85 and 326.73

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Solution

The fourth proportional to 395.08, 589.85 and 326.73 is: 487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.08 : 589.85 = 326.73 : x
  2. Step 2: Convert to fraction form
    395.08/589.85 = 326.73/x
  3. Step 3: Cross multiply
    395.08x = 589.85 × 326.73
  4. Step 4: Simplify right side
    395.08x = 192,723.49
  5. Step 5: Solve for x
    x = 192,723.49/395.08
  6. Step 6: Final answer
    x = 487.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.