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Finding the Fourth Proportional to 394.09, 590.96 and 272.39

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Solution

The fourth proportional to 394.09, 590.96 and 272.39 is: 408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.09 : 590.96 = 272.39 : x
  2. Step 2: Convert to fraction form
    394.09/590.96 = 272.39/x
  3. Step 3: Cross multiply
    394.09x = 590.96 × 272.39
  4. Step 4: Simplify right side
    394.09x = 160,969.32
  5. Step 5: Solve for x
    x = 160,969.32/394.09
  6. Step 6: Final answer
    x = 408.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.