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Finding the Fourth Proportional to 550.20, 825.57 and 257.72

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Solution

The fourth proportional to 550.20, 825.57 and 257.72 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 825.57 = 257.72 : x
  2. Step 2: Convert to fraction form
    550.20/825.57 = 257.72/x
  3. Step 3: Cross multiply
    550.20x = 825.57 × 257.72
  4. Step 4: Simplify right side
    550.20x = 212,767.96
  5. Step 5: Solve for x
    x = 212,767.96/550.20
  6. Step 6: Final answer
    x = 386.71

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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.