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Finding the Fourth Proportional to 207.67, 311.75 and 138.31

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Solution

The fourth proportional to 207.67, 311.75 and 138.31 is: 207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.67 : 311.75 = 138.31 : x
  2. Step 2: Convert to fraction form
    207.67/311.75 = 138.31/x
  3. Step 3: Cross multiply
    207.67x = 311.75 × 138.31
  4. Step 4: Simplify right side
    207.67x = 43,118.14
  5. Step 5: Solve for x
    x = 43,118.14/207.67
  6. Step 6: Final answer
    x = 207.63

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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.