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Finding the Fourth Proportional to 299.22, 414.59 and 292.74

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Solution

The fourth proportional to 299.22, 414.59 and 292.74 is: 405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.22 : 414.59 = 292.74 : x
  2. Step 2: Convert to fraction form
    299.22/414.59 = 292.74/x
  3. Step 3: Cross multiply
    299.22x = 414.59 × 292.74
  4. Step 4: Simplify right side
    299.22x = 121,367.08
  5. Step 5: Solve for x
    x = 121,367.08/299.22
  6. Step 6: Final answer
    x = 405.61

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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.