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Finding the Fourth Proportional to 209.21, 288.76 and 126.37

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Solution

The fourth proportional to 209.21, 288.76 and 126.37 is: 174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.21 : 288.76 = 126.37 : x
  2. Step 2: Convert to fraction form
    209.21/288.76 = 126.37/x
  3. Step 3: Cross multiply
    209.21x = 288.76 × 126.37
  4. Step 4: Simplify right side
    209.21x = 36,490.60
  5. Step 5: Solve for x
    x = 36,490.60/209.21
  6. Step 6: Final answer
    x = 174.42

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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.