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Finding the Fourth Proportional to 550.12, 824.80 and 221

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Solution

The fourth proportional to 550.12, 824.80 and 221 is: 331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.12 : 824.80 = 221 : x
  2. Step 2: Convert to fraction form
    550.12/824.80 = 221/x
  3. Step 3: Cross multiply
    550.12x = 824.80 × 221
  4. Step 4: Simplify right side
    550.12x = 182,280.80
  5. Step 5: Solve for x
    x = 182,280.80/550.12
  6. Step 6: Final answer
    x = 331.35

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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.