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Finding the Fourth Proportional to 299.26, 412.89 and 182.74

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Solution

The fourth proportional to 299.26, 412.89 and 182.74 is: 252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.26 : 412.89 = 182.74 : x
  2. Step 2: Convert to fraction form
    299.26/412.89 = 182.74/x
  3. Step 3: Cross multiply
    299.26x = 412.89 × 182.74
  4. Step 4: Simplify right side
    299.26x = 75,451.52
  5. Step 5: Solve for x
    x = 75,451.52/299.26
  6. Step 6: Final answer
    x = 252.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.