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Finding the Fourth Proportional to 300.49, 414.61 and 195.57

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Solution

The fourth proportional to 300.49, 414.61 and 195.57 is: 269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.49 : 414.61 = 195.57 : x
  2. Step 2: Convert to fraction form
    300.49/414.61 = 195.57/x
  3. Step 3: Cross multiply
    300.49x = 414.61 × 195.57
  4. Step 4: Simplify right side
    300.49x = 81,084.79
  5. Step 5: Solve for x
    x = 81,084.79/300.49
  6. Step 6: Final answer
    x = 269.84

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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.