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Finding the Fourth Proportional to 299.21, 411.17 and 250.01

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Solution

The fourth proportional to 299.21, 411.17 and 250.01 is: 343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 411.17 = 250.01 : x
  2. Step 2: Convert to fraction form
    299.21/411.17 = 250.01/x
  3. Step 3: Cross multiply
    299.21x = 411.17 × 250.01
  4. Step 4: Simplify right side
    299.21x = 102,793.31
  5. Step 5: Solve for x
    x = 102,793.31/299.21
  6. Step 6: Final answer
    x = 343.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.