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Finding the Fourth Proportional to 207.18, 309.96 and 134.73

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Solution

The fourth proportional to 207.18, 309.96 and 134.73 is: 201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.18 : 309.96 = 134.73 : x
  2. Step 2: Convert to fraction form
    207.18/309.96 = 134.73/x
  3. Step 3: Cross multiply
    207.18x = 309.96 × 134.73
  4. Step 4: Simplify right side
    207.18x = 41,760.91
  5. Step 5: Solve for x
    x = 41,760.91/207.18
  6. Step 6: Final answer
    x = 201.57

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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.