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Finding the Fourth Proportional to 550.47, 825.78 and 258.27

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Solution

The fourth proportional to 550.47, 825.78 and 258.27 is: 387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.47 : 825.78 = 258.27 : x
  2. Step 2: Convert to fraction form
    550.47/825.78 = 258.27/x
  3. Step 3: Cross multiply
    550.47x = 825.78 × 258.27
  4. Step 4: Simplify right side
    550.47x = 213,274.20
  5. Step 5: Solve for x
    x = 213,274.20/550.47
  6. Step 6: Final answer
    x = 387.44

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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.