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Finding the Fourth Proportional to 299.74, 410.95 and 294.26

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Solution

The fourth proportional to 299.74, 410.95 and 294.26 is: 403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.74 : 410.95 = 294.26 : x
  2. Step 2: Convert to fraction form
    299.74/410.95 = 294.26/x
  3. Step 3: Cross multiply
    299.74x = 410.95 × 294.26
  4. Step 4: Simplify right side
    299.74x = 120,924.68
  5. Step 5: Solve for x
    x = 120,924.68/299.74
  6. Step 6: Final answer
    x = 403.43

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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.