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Finding the Fourth Proportional to 414.73, 622.15 and 140.75

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Solution

The fourth proportional to 414.73, 622.15 and 140.75 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.73 : 622.15 = 140.75 : x
  2. Step 2: Convert to fraction form
    414.73/622.15 = 140.75/x
  3. Step 3: Cross multiply
    414.73x = 622.15 × 140.75
  4. Step 4: Simplify right side
    414.73x = 87,567.61
  5. Step 5: Solve for x
    x = 87,567.61/414.73
  6. Step 6: Final answer
    x = 211.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.