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Finding the Fourth Proportional to 550.16, 759.36 and 353.84

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Solution

The fourth proportional to 550.16, 759.36 and 353.84 is: 488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.16 : 759.36 = 353.84 : x
  2. Step 2: Convert to fraction form
    550.16/759.36 = 353.84/x
  3. Step 3: Cross multiply
    550.16x = 759.36 × 353.84
  4. Step 4: Simplify right side
    550.16x = 268,691.94
  5. Step 5: Solve for x
    x = 268,691.94/550.16
  6. Step 6: Final answer
    x = 488.39

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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.