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Finding the Fourth Proportional to 414.67, 622.59 and 250.29

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Solution

The fourth proportional to 414.67, 622.59 and 250.29 is: 375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.67 : 622.59 = 250.29 : x
  2. Step 2: Convert to fraction form
    414.67/622.59 = 250.29/x
  3. Step 3: Cross multiply
    414.67x = 622.59 × 250.29
  4. Step 4: Simplify right side
    414.67x = 155,827.11
  5. Step 5: Solve for x
    x = 155,827.11/414.67
  6. Step 6: Final answer
    x = 375.79

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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.