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Finding the Fourth Proportional to 550.50, 825.62 and 160.40

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Solution

The fourth proportional to 550.50, 825.62 and 160.40 is: 240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.50 : 825.62 = 160.40 : x
  2. Step 2: Convert to fraction form
    550.50/825.62 = 160.40/x
  3. Step 3: Cross multiply
    550.50x = 825.62 × 160.40
  4. Step 4: Simplify right side
    550.50x = 132,429.45
  5. Step 5: Solve for x
    x = 132,429.45/550.50
  6. Step 6: Final answer
    x = 240.56

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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.