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Finding the Fourth Proportional to 118.21, 163.05 and 76.70

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Solution

The fourth proportional to 118.21, 163.05 and 76.70 is: 105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.21 : 163.05 = 76.70 : x
  2. Step 2: Convert to fraction form
    118.21/163.05 = 76.70/x
  3. Step 3: Cross multiply
    118.21x = 163.05 × 76.70
  4. Step 4: Simplify right side
    118.21x = 12,505.94
  5. Step 5: Solve for x
    x = 12,505.94/118.21
  6. Step 6: Final answer
    x = 105.79

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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.