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Finding the Fourth Proportional to 550.85, 759.93 and 340.88

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Solution

The fourth proportional to 550.85, 759.93 and 340.88 is: 470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.85 : 759.93 = 340.88 : x
  2. Step 2: Convert to fraction form
    550.85/759.93 = 340.88/x
  3. Step 3: Cross multiply
    550.85x = 759.93 × 340.88
  4. Step 4: Simplify right side
    550.85x = 259,044.94
  5. Step 5: Solve for x
    x = 259,044.94/550.85
  6. Step 6: Final answer
    x = 470.26

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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.