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Finding the Fourth Proportional to 209.37, 314.22 and 87.72

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Solution

The fourth proportional to 209.37, 314.22 and 87.72 is: 131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.37 : 314.22 = 87.72 : x
  2. Step 2: Convert to fraction form
    209.37/314.22 = 87.72/x
  3. Step 3: Cross multiply
    209.37x = 314.22 × 87.72
  4. Step 4: Simplify right side
    209.37x = 27,563.38
  5. Step 5: Solve for x
    x = 27,563.38/209.37
  6. Step 6: Final answer
    x = 131.65

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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.