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Finding the Fourth Proportional to 49.94, 75.11 and 42.38

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Solution

The fourth proportional to 49.94, 75.11 and 42.38 is: 63.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.94 : 75.11 = 42.38 : x
  2. Step 2: Convert to fraction form
    49.94/75.11 = 42.38/x
  3. Step 3: Cross multiply
    49.94x = 75.11 × 42.38
  4. Step 4: Simplify right side
    49.94x = 3,183.16
  5. Step 5: Solve for x
    x = 3,183.16/49.94
  6. Step 6: Final answer
    x = 63.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.