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Finding the Fourth Proportional to 414.70, 622.07 and 209.03

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Solution

The fourth proportional to 414.70, 622.07 and 209.03 is: 313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.70 : 622.07 = 209.03 : x
  2. Step 2: Convert to fraction form
    414.70/622.07 = 209.03/x
  3. Step 3: Cross multiply
    414.70x = 622.07 × 209.03
  4. Step 4: Simplify right side
    414.70x = 130,027.92
  5. Step 5: Solve for x
    x = 130,027.92/414.70
  6. Step 6: Final answer
    x = 313.55

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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.