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Finding the Fourth Proportional to 49.96, 68.39 and 49.84

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Solution

The fourth proportional to 49.96, 68.39 and 49.84 is: 68.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.96 : 68.39 = 49.84 : x
  2. Step 2: Convert to fraction form
    49.96/68.39 = 49.84/x
  3. Step 3: Cross multiply
    49.96x = 68.39 × 49.84
  4. Step 4: Simplify right side
    49.96x = 3,408.56
  5. Step 5: Solve for x
    x = 3,408.56/49.96
  6. Step 6: Final answer
    x = 68.23

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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.