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Finding the Fourth Proportional to 209.30, 288.81 and 126.44

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Solution

The fourth proportional to 209.30, 288.81 and 126.44 is: 174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.30 : 288.81 = 126.44 : x
  2. Step 2: Convert to fraction form
    209.30/288.81 = 126.44/x
  3. Step 3: Cross multiply
    209.30x = 288.81 × 126.44
  4. Step 4: Simplify right side
    209.30x = 36,517.14
  5. Step 5: Solve for x
    x = 36,517.14/209.30
  6. Step 6: Final answer
    x = 174.47

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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.