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Finding the Fourth Proportional to 299.56, 447.41 and 275.32

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Solution

The fourth proportional to 299.56, 447.41 and 275.32 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 447.41 = 275.32 : x
  2. Step 2: Convert to fraction form
    299.56/447.41 = 275.32/x
  3. Step 3: Cross multiply
    299.56x = 447.41 × 275.32
  4. Step 4: Simplify right side
    299.56x = 123,180.92
  5. Step 5: Solve for x
    x = 123,180.92/299.56
  6. Step 6: Final answer
    x = 411.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.