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Finding the Fourth Proportional to 300.38, 414.53 and 169.39

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Solution

The fourth proportional to 300.38, 414.53 and 169.39 is: 233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.38 : 414.53 = 169.39 : x
  2. Step 2: Convert to fraction form
    300.38/414.53 = 169.39/x
  3. Step 3: Cross multiply
    300.38x = 414.53 × 169.39
  4. Step 4: Simplify right side
    300.38x = 70,217.24
  5. Step 5: Solve for x
    x = 70,217.24/300.38
  6. Step 6: Final answer
    x = 233.76

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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.