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Finding the Fourth Proportional to 327.52, 449.36 and 299.98

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Solution

The fourth proportional to 327.52, 449.36 and 299.98 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.52 : 449.36 = 299.98 : x
  2. Step 2: Convert to fraction form
    327.52/449.36 = 299.98/x
  3. Step 3: Cross multiply
    327.52x = 449.36 × 299.98
  4. Step 4: Simplify right side
    327.52x = 134,799.01
  5. Step 5: Solve for x
    x = 134,799.01/327.52
  6. Step 6: Final answer
    x = 411.57

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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.