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Finding the Fourth Proportional to 49.76, 68.70 and 38.21

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Solution

The fourth proportional to 49.76, 68.70 and 38.21 is: 52.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.76 : 68.70 = 38.21 : x
  2. Step 2: Convert to fraction form
    49.76/68.70 = 38.21/x
  3. Step 3: Cross multiply
    49.76x = 68.70 × 38.21
  4. Step 4: Simplify right side
    49.76x = 2,625.03
  5. Step 5: Solve for x
    x = 2,625.03/49.76
  6. Step 6: Final answer
    x = 52.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.