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Finding the Fourth Proportional to 300.49, 414.71 and 194.11

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Solution

The fourth proportional to 300.49, 414.71 and 194.11 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.49 : 414.71 = 194.11 : x
  2. Step 2: Convert to fraction form
    300.49/414.71 = 194.11/x
  3. Step 3: Cross multiply
    300.49x = 414.71 × 194.11
  4. Step 4: Simplify right side
    300.49x = 80,499.36
  5. Step 5: Solve for x
    x = 80,499.36/300.49
  6. Step 6: Final answer
    x = 267.89

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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.