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Finding the Fourth Proportional to 209.61, 289.15 and 126.75

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Solution

The fourth proportional to 209.61, 289.15 and 126.75 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 289.15 = 126.75 : x
  2. Step 2: Convert to fraction form
    209.61/289.15 = 126.75/x
  3. Step 3: Cross multiply
    209.61x = 289.15 × 126.75
  4. Step 4: Simplify right side
    209.61x = 36,649.76
  5. Step 5: Solve for x
    x = 36,649.76/209.61
  6. Step 6: Final answer
    x = 174.85

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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.