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Finding the Fourth Proportional to 50.20, 68.85 and 49.43

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Solution

The fourth proportional to 50.20, 68.85 and 49.43 is: 67.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.20 : 68.85 = 49.43 : x
  2. Step 2: Convert to fraction form
    50.20/68.85 = 49.43/x
  3. Step 3: Cross multiply
    50.20x = 68.85 × 49.43
  4. Step 4: Simplify right side
    50.20x = 3,403.26
  5. Step 5: Solve for x
    x = 3,403.26/50.20
  6. Step 6: Final answer
    x = 67.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.