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Finding the Fourth Proportional to 207.31, 311.02 and 134.18

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Solution

The fourth proportional to 207.31, 311.02 and 134.18 is: 201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 311.02 = 134.18 : x
  2. Step 2: Convert to fraction form
    207.31/311.02 = 134.18/x
  3. Step 3: Cross multiply
    207.31x = 311.02 × 134.18
  4. Step 4: Simplify right side
    207.31x = 41,732.66
  5. Step 5: Solve for x
    x = 41,732.66/207.31
  6. Step 6: Final answer
    x = 201.31

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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.