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Finding the Fourth Proportional to 209.76, 289.50 and 126.84

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Solution

The fourth proportional to 209.76, 289.50 and 126.84 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.76 : 289.50 = 126.84 : x
  2. Step 2: Convert to fraction form
    209.76/289.50 = 126.84/x
  3. Step 3: Cross multiply
    209.76x = 289.50 × 126.84
  4. Step 4: Simplify right side
    209.76x = 36,720.18
  5. Step 5: Solve for x
    x = 36,720.18/209.76
  6. Step 6: Final answer
    x = 175.06

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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.