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Finding the Fourth Proportional to 50.27, 69.65 and 49.19

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Solution

The fourth proportional to 50.27, 69.65 and 49.19 is: 68.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.27 : 69.65 = 49.19 : x
  2. Step 2: Convert to fraction form
    50.27/69.65 = 49.19/x
  3. Step 3: Cross multiply
    50.27x = 69.65 × 49.19
  4. Step 4: Simplify right side
    50.27x = 3,425.49
  5. Step 5: Solve for x
    x = 3,425.49/50.27
  6. Step 6: Final answer
    x = 68.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.