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Finding the Fourth Proportional to 327.44, 451.98 and 290.39

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Solution

The fourth proportional to 327.44, 451.98 and 290.39 is: 400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.44 : 451.98 = 290.39 : x
  2. Step 2: Convert to fraction form
    327.44/451.98 = 290.39/x
  3. Step 3: Cross multiply
    327.44x = 451.98 × 290.39
  4. Step 4: Simplify right side
    327.44x = 131,248.21
  5. Step 5: Solve for x
    x = 131,248.21/327.44
  6. Step 6: Final answer
    x = 400.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.