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Finding the Fourth Proportional to 414.09, 620.31 and 305.94

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Solution

The fourth proportional to 414.09, 620.31 and 305.94 is: 458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 620.31 = 305.94 : x
  2. Step 2: Convert to fraction form
    414.09/620.31 = 305.94/x
  3. Step 3: Cross multiply
    414.09x = 620.31 × 305.94
  4. Step 4: Simplify right side
    414.09x = 189,777.64
  5. Step 5: Solve for x
    x = 189,777.64/414.09
  6. Step 6: Final answer
    x = 458.30

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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.