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Finding the Fourth Proportional to 414.20, 620.68 and 259.74

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Solution

The fourth proportional to 414.20, 620.68 and 259.74 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.20 : 620.68 = 259.74 : x
  2. Step 2: Convert to fraction form
    414.20/620.68 = 259.74/x
  3. Step 3: Cross multiply
    414.20x = 620.68 × 259.74
  4. Step 4: Simplify right side
    414.20x = 161,215.26
  5. Step 5: Solve for x
    x = 161,215.26/414.20
  6. Step 6: Final answer
    x = 389.22

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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.