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Finding the Fourth Proportional to 550.78, 825.66 and 221.63

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Solution

The fourth proportional to 550.78, 825.66 and 221.63 is: 332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 825.66 = 221.63 : x
  2. Step 2: Convert to fraction form
    550.78/825.66 = 221.63/x
  3. Step 3: Cross multiply
    550.78x = 825.66 × 221.63
  4. Step 4: Simplify right side
    550.78x = 182,986.90
  5. Step 5: Solve for x
    x = 182,986.90/550.78
  6. Step 6: Final answer
    x = 332.23

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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.