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Finding the Fourth Proportional to 414.96, 621.54 and 268.44

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Solution

The fourth proportional to 414.96, 621.54 and 268.44 is: 402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 621.54 = 268.44 : x
  2. Step 2: Convert to fraction form
    414.96/621.54 = 268.44/x
  3. Step 3: Cross multiply
    414.96x = 621.54 × 268.44
  4. Step 4: Simplify right side
    414.96x = 166,846.20
  5. Step 5: Solve for x
    x = 166,846.20/414.96
  6. Step 6: Final answer
    x = 402.08

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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.