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Finding the Fourth Proportional to 414.93, 622.53 and 209.33

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Solution

The fourth proportional to 414.93, 622.53 and 209.33 is: 314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.93 : 622.53 = 209.33 : x
  2. Step 2: Convert to fraction form
    414.93/622.53 = 209.33/x
  3. Step 3: Cross multiply
    414.93x = 622.53 × 209.33
  4. Step 4: Simplify right side
    414.93x = 130,311.09
  5. Step 5: Solve for x
    x = 130,311.09/414.93
  6. Step 6: Final answer
    x = 314.06

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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.