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Finding the Fourth Proportional to 299.31, 445.68 and 296.04

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Solution

The fourth proportional to 299.31, 445.68 and 296.04 is: 440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.31 : 445.68 = 296.04 : x
  2. Step 2: Convert to fraction form
    299.31/445.68 = 296.04/x
  3. Step 3: Cross multiply
    299.31x = 445.68 × 296.04
  4. Step 4: Simplify right side
    299.31x = 131,939.11
  5. Step 5: Solve for x
    x = 131,939.11/299.31
  6. Step 6: Final answer
    x = 440.81

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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.