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Finding the Fourth Proportional to 550.31, 759.39 and 323.27

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Solution

The fourth proportional to 550.31, 759.39 and 323.27 is: 446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.31 : 759.39 = 323.27 : x
  2. Step 2: Convert to fraction form
    550.31/759.39 = 323.27/x
  3. Step 3: Cross multiply
    550.31x = 759.39 × 323.27
  4. Step 4: Simplify right side
    550.31x = 245,484.21
  5. Step 5: Solve for x
    x = 245,484.21/550.31
  6. Step 6: Final answer
    x = 446.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.