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Finding the Fourth Proportional to 299.94, 450.01 and 126.69

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Solution

The fourth proportional to 299.94, 450.01 and 126.69 is: 190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 450.01 = 126.69 : x
  2. Step 2: Convert to fraction form
    299.94/450.01 = 126.69/x
  3. Step 3: Cross multiply
    299.94x = 450.01 × 126.69
  4. Step 4: Simplify right side
    299.94x = 57,010.24
  5. Step 5: Solve for x
    x = 57,010.24/299.94
  6. Step 6: Final answer
    x = 190.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.