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Finding the Fourth Proportional to 550.32, 825.78 and 276.42

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Solution

The fourth proportional to 550.32, 825.78 and 276.42 is: 414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.32 : 825.78 = 276.42 : x
  2. Step 2: Convert to fraction form
    550.32/825.78 = 276.42/x
  3. Step 3: Cross multiply
    550.32x = 825.78 × 276.42
  4. Step 4: Simplify right side
    550.32x = 228,262.11
  5. Step 5: Solve for x
    x = 228,262.11/550.32
  6. Step 6: Final answer
    x = 414.78

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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.