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Finding the Fourth Proportional to 367.48, 550.56 and 223.12

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Solution

The fourth proportional to 367.48, 550.56 and 223.12 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.48 : 550.56 = 223.12 : x
  2. Step 2: Convert to fraction form
    367.48/550.56 = 223.12/x
  3. Step 3: Cross multiply
    367.48x = 550.56 × 223.12
  4. Step 4: Simplify right side
    367.48x = 122,840.95
  5. Step 5: Solve for x
    x = 122,840.95/367.48
  6. Step 6: Final answer
    x = 334.28

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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.