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Finding the Fourth Proportional to 300.20, 414.26 and 169.16

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Solution

The fourth proportional to 300.20, 414.26 and 169.16 is: 233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.20 : 414.26 = 169.16 : x
  2. Step 2: Convert to fraction form
    300.20/414.26 = 169.16/x
  3. Step 3: Cross multiply
    300.20x = 414.26 × 169.16
  4. Step 4: Simplify right side
    300.20x = 70,076.22
  5. Step 5: Solve for x
    x = 70,076.22/300.20
  6. Step 6: Final answer
    x = 233.43

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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.