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Finding the Fourth Proportional to 299.28, 445.29 and 296.94

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Solution

The fourth proportional to 299.28, 445.29 and 296.94 is: 441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.28 : 445.29 = 296.94 : x
  2. Step 2: Convert to fraction form
    299.28/445.29 = 296.94/x
  3. Step 3: Cross multiply
    299.28x = 445.29 × 296.94
  4. Step 4: Simplify right side
    299.28x = 132,224.41
  5. Step 5: Solve for x
    x = 132,224.41/299.28
  6. Step 6: Final answer
    x = 441.81

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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.