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Finding the Fourth Proportional to 550.11, 825.04 and 160.12

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Solution

The fourth proportional to 550.11, 825.04 and 160.12 is: 240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.11 : 825.04 = 160.12 : x
  2. Step 2: Convert to fraction form
    550.11/825.04 = 160.12/x
  3. Step 3: Cross multiply
    550.11x = 825.04 × 160.12
  4. Step 4: Simplify right side
    550.11x = 132,105.40
  5. Step 5: Solve for x
    x = 132,105.40/550.11
  6. Step 6: Final answer
    x = 240.14

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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.