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Finding the Fourth Proportional to 49.76, 69.02 and 48.21

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Solution

The fourth proportional to 49.76, 69.02 and 48.21 is: 66.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.76 : 69.02 = 48.21 : x
  2. Step 2: Convert to fraction form
    49.76/69.02 = 48.21/x
  3. Step 3: Cross multiply
    49.76x = 69.02 × 48.21
  4. Step 4: Simplify right side
    49.76x = 3,327.21
  5. Step 5: Solve for x
    x = 3,327.21/49.76
  6. Step 6: Final answer
    x = 66.87

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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.