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Finding the Fourth Proportional to 414.67, 622.08 and 140.75

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Solution

The fourth proportional to 414.67, 622.08 and 140.75 is: 211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.67 : 622.08 = 140.75 : x
  2. Step 2: Convert to fraction form
    414.67/622.08 = 140.75/x
  3. Step 3: Cross multiply
    414.67x = 622.08 × 140.75
  4. Step 4: Simplify right side
    414.67x = 87,554.65
  5. Step 5: Solve for x
    x = 87,554.65/414.67
  6. Step 6: Final answer
    x = 211.15

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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.