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Finding the Fourth Proportional to 49.85, 74.82 and 38.46

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Solution

The fourth proportional to 49.85, 74.82 and 38.46 is: 57.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.85 : 74.82 = 38.46 : x
  2. Step 2: Convert to fraction form
    49.85/74.82 = 38.46/x
  3. Step 3: Cross multiply
    49.85x = 74.82 × 38.46
  4. Step 4: Simplify right side
    49.85x = 2,878.00
  5. Step 5: Solve for x
    x = 2,878.00/49.85
  6. Step 6: Final answer
    x = 57.73

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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.