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Finding the Fourth Proportional to 205.22, 307.98 and 136.73

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Solution

The fourth proportional to 205.22, 307.98 and 136.73 is: 205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.22 : 307.98 = 136.73 : x
  2. Step 2: Convert to fraction form
    205.22/307.98 = 136.73/x
  3. Step 3: Cross multiply
    205.22x = 307.98 × 136.73
  4. Step 4: Simplify right side
    205.22x = 42,108.57
  5. Step 5: Solve for x
    x = 42,108.57/205.22
  6. Step 6: Final answer
    x = 205.19

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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.