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Finding the Fourth Proportional to 300.32, 447.28 and 296.56

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Solution

The fourth proportional to 300.32, 447.28 and 296.56 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.32 : 447.28 = 296.56 : x
  2. Step 2: Convert to fraction form
    300.32/447.28 = 296.56/x
  3. Step 3: Cross multiply
    300.32x = 447.28 × 296.56
  4. Step 4: Simplify right side
    300.32x = 132,645.36
  5. Step 5: Solve for x
    x = 132,645.36/300.32
  6. Step 6: Final answer
    x = 441.68

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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.