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Finding the Fourth Proportional to 209.43, 289.07 and 126.60

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Solution

The fourth proportional to 209.43, 289.07 and 126.60 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.43 : 289.07 = 126.60 : x
  2. Step 2: Convert to fraction form
    209.43/289.07 = 126.60/x
  3. Step 3: Cross multiply
    209.43x = 289.07 × 126.60
  4. Step 4: Simplify right side
    209.43x = 36,595.63
  5. Step 5: Solve for x
    x = 36,595.63/209.43
  6. Step 6: Final answer
    x = 174.74

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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.