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Finding the Fourth Proportional to 209.26, 313.78 and 87.44

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Solution

The fourth proportional to 209.26, 313.78 and 87.44 is: 131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.26 : 313.78 = 87.44 : x
  2. Step 2: Convert to fraction form
    209.26/313.78 = 87.44/x
  3. Step 3: Cross multiply
    209.26x = 313.78 × 87.44
  4. Step 4: Simplify right side
    209.26x = 27,435.46
  5. Step 5: Solve for x
    x = 27,435.46/209.26
  6. Step 6: Final answer
    x = 131.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.