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Finding the Fourth Proportional to 300.22, 414.26 and 169.22

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Solution

The fourth proportional to 300.22, 414.26 and 169.22 is: 233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.22 : 414.26 = 169.22 : x
  2. Step 2: Convert to fraction form
    300.22/414.26 = 169.22/x
  3. Step 3: Cross multiply
    300.22x = 414.26 × 169.22
  4. Step 4: Simplify right side
    300.22x = 70,101.08
  5. Step 5: Solve for x
    x = 70,101.08/300.22
  6. Step 6: Final answer
    x = 233.50

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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.