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Finding the Fourth Proportional to 394.44, 591.06 and 301.82

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Solution

The fourth proportional to 394.44, 591.06 and 301.82 is: 452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.44 : 591.06 = 301.82 : x
  2. Step 2: Convert to fraction form
    394.44/591.06 = 301.82/x
  3. Step 3: Cross multiply
    394.44x = 591.06 × 301.82
  4. Step 4: Simplify right side
    394.44x = 178,393.73
  5. Step 5: Solve for x
    x = 178,393.73/394.44
  6. Step 6: Final answer
    x = 452.27

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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.