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Finding the Fourth Proportional to 209.59, 289.17 and 125.58

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Solution

The fourth proportional to 209.59, 289.17 and 125.58 is: 173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.59 : 289.17 = 125.58 : x
  2. Step 2: Convert to fraction form
    209.59/289.17 = 125.58/x
  3. Step 3: Cross multiply
    209.59x = 289.17 × 125.58
  4. Step 4: Simplify right side
    209.59x = 36,315.05
  5. Step 5: Solve for x
    x = 36,315.05/209.59
  6. Step 6: Final answer
    x = 173.27

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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.