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Finding the Fourth Proportional to 550.52, 759.38 and 340.80

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Solution

The fourth proportional to 550.52, 759.38 and 340.80 is: 470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.52 : 759.38 = 340.80 : x
  2. Step 2: Convert to fraction form
    550.52/759.38 = 340.80/x
  3. Step 3: Cross multiply
    550.52x = 759.38 × 340.80
  4. Step 4: Simplify right side
    550.52x = 258,796.70
  5. Step 5: Solve for x
    x = 258,796.70/550.52
  6. Step 6: Final answer
    x = 470.10

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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.