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Finding the Fourth Proportional to 205.82, 308.73 and 120.86

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Solution

The fourth proportional to 205.82, 308.73 and 120.86 is: 181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 308.73 = 120.86 : x
  2. Step 2: Convert to fraction form
    205.82/308.73 = 120.86/x
  3. Step 3: Cross multiply
    205.82x = 308.73 × 120.86
  4. Step 4: Simplify right side
    205.82x = 37,313.11
  5. Step 5: Solve for x
    x = 37,313.11/205.82
  6. Step 6: Final answer
    x = 181.29

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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.