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Finding the Fourth Proportional to 300.62, 414.51 and 189.94

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Solution

The fourth proportional to 300.62, 414.51 and 189.94 is: 261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.62 : 414.51 = 189.94 : x
  2. Step 2: Convert to fraction form
    300.62/414.51 = 189.94/x
  3. Step 3: Cross multiply
    300.62x = 414.51 × 189.94
  4. Step 4: Simplify right side
    300.62x = 78,732.03
  5. Step 5: Solve for x
    x = 78,732.03/300.62
  6. Step 6: Final answer
    x = 261.90

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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.