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Finding the Fourth Proportional to 209.50, 289 and 131.74

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Solution

The fourth proportional to 209.50, 289 and 131.74 is: 181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 289 = 131.74 : x
  2. Step 2: Convert to fraction form
    209.50/289 = 131.74/x
  3. Step 3: Cross multiply
    209.50x = 289 × 131.74
  4. Step 4: Simplify right side
    209.50x = 38,072.86
  5. Step 5: Solve for x
    x = 38,072.86/209.50
  6. Step 6: Final answer
    x = 181.73

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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.