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Finding the Fourth Proportional to 550.52, 825.74 and 160.51

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Solution

The fourth proportional to 550.52, 825.74 and 160.51 is: 240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.52 : 825.74 = 160.51 : x
  2. Step 2: Convert to fraction form
    550.52/825.74 = 160.51/x
  3. Step 3: Cross multiply
    550.52x = 825.74 × 160.51
  4. Step 4: Simplify right side
    550.52x = 132,537.39
  5. Step 5: Solve for x
    x = 132,537.39/550.52
  6. Step 6: Final answer
    x = 240.75

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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.