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Finding the Fourth Proportional to 300.19, 414.42 and 195.34

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Solution

The fourth proportional to 300.19, 414.42 and 195.34 is: 269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.19 : 414.42 = 195.34 : x
  2. Step 2: Convert to fraction form
    300.19/414.42 = 195.34/x
  3. Step 3: Cross multiply
    300.19x = 414.42 × 195.34
  4. Step 4: Simplify right side
    300.19x = 80,951.77
  5. Step 5: Solve for x
    x = 80,951.77/300.19
  6. Step 6: Final answer
    x = 269.67

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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.