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Finding the Fourth Proportional to 414.94, 623.62 and 271.56

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Solution

The fourth proportional to 414.94, 623.62 and 271.56 is: 408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 623.62 = 271.56 : x
  2. Step 2: Convert to fraction form
    414.94/623.62 = 271.56/x
  3. Step 3: Cross multiply
    414.94x = 623.62 × 271.56
  4. Step 4: Simplify right side
    414.94x = 169,350.25
  5. Step 5: Solve for x
    x = 169,350.25/414.94
  6. Step 6: Final answer
    x = 408.13

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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.