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Finding the Fourth Proportional to 414.37, 620.38 and 218.93

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Solution

The fourth proportional to 414.37, 620.38 and 218.93 is: 327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.37 : 620.38 = 218.93 : x
  2. Step 2: Convert to fraction form
    414.37/620.38 = 218.93/x
  3. Step 3: Cross multiply
    414.37x = 620.38 × 218.93
  4. Step 4: Simplify right side
    414.37x = 135,816.97
  5. Step 5: Solve for x
    x = 135,816.97/414.37
  6. Step 6: Final answer
    x = 327.77

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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.