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Finding the Fourth Proportional to 391.87, 588.44 and 323.25

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Solution

The fourth proportional to 391.87, 588.44 and 323.25 is: 485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.87 : 588.44 = 323.25 : x
  2. Step 2: Convert to fraction form
    391.87/588.44 = 323.25/x
  3. Step 3: Cross multiply
    391.87x = 588.44 × 323.25
  4. Step 4: Simplify right side
    391.87x = 190,213.23
  5. Step 5: Solve for x
    x = 190,213.23/391.87
  6. Step 6: Final answer
    x = 485.40

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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.