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Finding the Fourth Proportional to 209.83, 289.92 and 202.43

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Solution

The fourth proportional to 209.83, 289.92 and 202.43 is: 279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.83 : 289.92 = 202.43 : x
  2. Step 2: Convert to fraction form
    209.83/289.92 = 202.43/x
  3. Step 3: Cross multiply
    209.83x = 289.92 × 202.43
  4. Step 4: Simplify right side
    209.83x = 58,687.49
  5. Step 5: Solve for x
    x = 58,687.49/209.83
  6. Step 6: Final answer
    x = 279.70

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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.