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Finding the Fourth Proportional to 50.38, 74.96 and 49.99

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Solution

The fourth proportional to 50.38, 74.96 and 49.99 is: 74.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.38 : 74.96 = 49.99 : x
  2. Step 2: Convert to fraction form
    50.38/74.96 = 49.99/x
  3. Step 3: Cross multiply
    50.38x = 74.96 × 49.99
  4. Step 4: Simplify right side
    50.38x = 3,747.25
  5. Step 5: Solve for x
    x = 3,747.25/50.38
  6. Step 6: Final answer
    x = 74.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.