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Finding the Fourth Proportional to 550.96, 825.76 and 276.64

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Solution

The fourth proportional to 550.96, 825.76 and 276.64 is: 414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.96 : 825.76 = 276.64 : x
  2. Step 2: Convert to fraction form
    550.96/825.76 = 276.64/x
  3. Step 3: Cross multiply
    550.96x = 825.76 × 276.64
  4. Step 4: Simplify right side
    550.96x = 228,438.25
  5. Step 5: Solve for x
    x = 228,438.25/550.96
  6. Step 6: Final answer
    x = 414.62

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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.