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Finding the Fourth Proportional to 205.70, 308.05 and 118.76

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Solution

The fourth proportional to 205.70, 308.05 and 118.76 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 308.05 = 118.76 : x
  2. Step 2: Convert to fraction form
    205.70/308.05 = 118.76/x
  3. Step 3: Cross multiply
    205.70x = 308.05 × 118.76
  4. Step 4: Simplify right side
    205.70x = 36,584.02
  5. Step 5: Solve for x
    x = 36,584.02/205.70
  6. Step 6: Final answer
    x = 177.85

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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.