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Finding the Fourth Proportional to 209.82, 289.78 and 143.74

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Solution

The fourth proportional to 209.82, 289.78 and 143.74 is: 198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 289.78 = 143.74 : x
  2. Step 2: Convert to fraction form
    209.82/289.78 = 143.74/x
  3. Step 3: Cross multiply
    209.82x = 289.78 × 143.74
  4. Step 4: Simplify right side
    209.82x = 41,652.98
  5. Step 5: Solve for x
    x = 41,652.98/209.82
  6. Step 6: Final answer
    x = 198.52

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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.