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Finding the Fourth Proportional to 550.34, 825.56 and 276.26

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Solution

The fourth proportional to 550.34, 825.56 and 276.26 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.34 : 825.56 = 276.26 : x
  2. Step 2: Convert to fraction form
    550.34/825.56 = 276.26/x
  3. Step 3: Cross multiply
    550.34x = 825.56 × 276.26
  4. Step 4: Simplify right side
    550.34x = 228,069.21
  5. Step 5: Solve for x
    x = 228,069.21/550.34
  6. Step 6: Final answer
    x = 414.42

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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.