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Finding the Fourth Proportional to 550.78, 826.45 and 258.23

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Solution

The fourth proportional to 550.78, 826.45 and 258.23 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 826.45 = 258.23 : x
  2. Step 2: Convert to fraction form
    550.78/826.45 = 258.23/x
  3. Step 3: Cross multiply
    550.78x = 826.45 × 258.23
  4. Step 4: Simplify right side
    550.78x = 213,415.60
  5. Step 5: Solve for x
    x = 213,415.60/550.78
  6. Step 6: Final answer
    x = 387.48

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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.