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Finding the Fourth Proportional to 391.32, 584.64 and 326.52

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Solution

The fourth proportional to 391.32, 584.64 and 326.52 is: 487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.32 : 584.64 = 326.52 : x
  2. Step 2: Convert to fraction form
    391.32/584.64 = 326.52/x
  3. Step 3: Cross multiply
    391.32x = 584.64 × 326.52
  4. Step 4: Simplify right side
    391.32x = 190,896.65
  5. Step 5: Solve for x
    x = 190,896.65/391.32
  6. Step 6: Final answer
    x = 487.83

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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.