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Finding the Fourth Proportional to 550.52, 825.39 and 257.86

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Solution

The fourth proportional to 550.52, 825.39 and 257.86 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.52 : 825.39 = 257.86 : x
  2. Step 2: Convert to fraction form
    550.52/825.39 = 257.86/x
  3. Step 3: Cross multiply
    550.52x = 825.39 × 257.86
  4. Step 4: Simplify right side
    550.52x = 212,836.48
  5. Step 5: Solve for x
    x = 212,836.48/550.52
  6. Step 6: Final answer
    x = 386.61

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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.