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Finding the Fourth Proportional to 550.18, 825.31 and 160.18

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Solution

The fourth proportional to 550.18, 825.31 and 160.18 is: 240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.18 : 825.31 = 160.18 : x
  2. Step 2: Convert to fraction form
    550.18/825.31 = 160.18/x
  3. Step 3: Cross multiply
    550.18x = 825.31 × 160.18
  4. Step 4: Simplify right side
    550.18x = 132,200.03
  5. Step 5: Solve for x
    x = 132,200.03/550.18
  6. Step 6: Final answer
    x = 240.29

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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.