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Finding the Fourth Proportional to 414.63, 622.17 and 171.09

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Solution

The fourth proportional to 414.63, 622.17 and 171.09 is: 256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 622.17 = 171.09 : x
  2. Step 2: Convert to fraction form
    414.63/622.17 = 171.09/x
  3. Step 3: Cross multiply
    414.63x = 622.17 × 171.09
  4. Step 4: Simplify right side
    414.63x = 106,447.07
  5. Step 5: Solve for x
    x = 106,447.07/414.63
  6. Step 6: Final answer
    x = 256.73

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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.