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Finding the Fourth Proportional to 327.15, 449.57 and 294.75

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Solution

The fourth proportional to 327.15, 449.57 and 294.75 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.15 : 449.57 = 294.75 : x
  2. Step 2: Convert to fraction form
    327.15/449.57 = 294.75/x
  3. Step 3: Cross multiply
    327.15x = 449.57 × 294.75
  4. Step 4: Simplify right side
    327.15x = 132,511.49
  5. Step 5: Solve for x
    x = 132,511.49/327.15
  6. Step 6: Final answer
    x = 405.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.