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Finding the Fourth Proportional to 550.91, 825.79 and 258.26

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Solution

The fourth proportional to 550.91, 825.79 and 258.26 is: 387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.91 : 825.79 = 258.26 : x
  2. Step 2: Convert to fraction form
    550.91/825.79 = 258.26/x
  3. Step 3: Cross multiply
    550.91x = 825.79 × 258.26
  4. Step 4: Simplify right side
    550.91x = 213,268.53
  5. Step 5: Solve for x
    x = 213,268.53/550.91
  6. Step 6: Final answer
    x = 387.12

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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.