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Finding the Fourth Proportional to 550.40, 759.80 and 340.69

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Solution

The fourth proportional to 550.40, 759.80 and 340.69 is: 470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 759.80 = 340.69 : x
  2. Step 2: Convert to fraction form
    550.40/759.80 = 340.69/x
  3. Step 3: Cross multiply
    550.40x = 759.80 × 340.69
  4. Step 4: Simplify right side
    550.40x = 258,854.72
  5. Step 5: Solve for x
    x = 258,854.72/550.40
  6. Step 6: Final answer
    x = 470.31

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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.