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Finding the Fourth Proportional to 299.09, 414.41 and 292.61

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Solution

The fourth proportional to 299.09, 414.41 and 292.61 is: 405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 414.41 = 292.61 : x
  2. Step 2: Convert to fraction form
    299.09/414.41 = 292.61/x
  3. Step 3: Cross multiply
    299.09x = 414.41 × 292.61
  4. Step 4: Simplify right side
    299.09x = 121,260.51
  5. Step 5: Solve for x
    x = 121,260.51/299.09
  6. Step 6: Final answer
    x = 405.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.