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Finding the Fourth Proportional to 209.67, 314.46 and 87.87

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Solution

The fourth proportional to 209.67, 314.46 and 87.87 is: 131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.67 : 314.46 = 87.87 : x
  2. Step 2: Convert to fraction form
    209.67/314.46 = 87.87/x
  3. Step 3: Cross multiply
    209.67x = 314.46 × 87.87
  4. Step 4: Simplify right side
    209.67x = 27,631.16
  5. Step 5: Solve for x
    x = 27,631.16/209.67
  6. Step 6: Final answer
    x = 131.78

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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.