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Finding the Fourth Proportional to 209.99, 289.37 and 173.41

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Solution

The fourth proportional to 209.99, 289.37 and 173.41 is: 238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 289.37 = 173.41 : x
  2. Step 2: Convert to fraction form
    209.99/289.37 = 173.41/x
  3. Step 3: Cross multiply
    209.99x = 289.37 × 173.41
  4. Step 4: Simplify right side
    209.99x = 50,178.78
  5. Step 5: Solve for x
    x = 50,178.78/209.99
  6. Step 6: Final answer
    x = 238.96

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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.