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Finding the Fourth Proportional to 207.82, 311.74 and 139.48

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Solution

The fourth proportional to 207.82, 311.74 and 139.48 is: 209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 311.74 = 139.48 : x
  2. Step 2: Convert to fraction form
    207.82/311.74 = 139.48/x
  3. Step 3: Cross multiply
    207.82x = 311.74 × 139.48
  4. Step 4: Simplify right side
    207.82x = 43,481.50
  5. Step 5: Solve for x
    x = 43,481.50/207.82
  6. Step 6: Final answer
    x = 209.23

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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.