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Finding the Fourth Proportional to 209.18, 312.96 and 136.73

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Solution

The fourth proportional to 209.18, 312.96 and 136.73 is: 204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.18 : 312.96 = 136.73 : x
  2. Step 2: Convert to fraction form
    209.18/312.96 = 136.73/x
  3. Step 3: Cross multiply
    209.18x = 312.96 × 136.73
  4. Step 4: Simplify right side
    209.18x = 42,791.02
  5. Step 5: Solve for x
    x = 42,791.02/209.18
  6. Step 6: Final answer
    x = 204.57

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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.