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Finding the Fourth Proportional to 393.87, 591.11 and 272.31

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Solution

The fourth proportional to 393.87, 591.11 and 272.31 is: 408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.87 : 591.11 = 272.31 : x
  2. Step 2: Convert to fraction form
    393.87/591.11 = 272.31/x
  3. Step 3: Cross multiply
    393.87x = 591.11 × 272.31
  4. Step 4: Simplify right side
    393.87x = 160,965.16
  5. Step 5: Solve for x
    x = 160,965.16/393.87
  6. Step 6: Final answer
    x = 408.68

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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.