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Finding the Fourth Proportional to 50.62, 69.32 and 48.80

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Solution

The fourth proportional to 50.62, 69.32 and 48.80 is: 66.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.62 : 69.32 = 48.80 : x
  2. Step 2: Convert to fraction form
    50.62/69.32 = 48.80/x
  3. Step 3: Cross multiply
    50.62x = 69.32 × 48.80
  4. Step 4: Simplify right side
    50.62x = 3,382.82
  5. Step 5: Solve for x
    x = 3,382.82/50.62
  6. Step 6: Final answer
    x = 66.83

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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.