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Finding the Fourth Proportional to 207.71, 311.51 and 115.11

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Solution

The fourth proportional to 207.71, 311.51 and 115.11 is: 172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.71 : 311.51 = 115.11 : x
  2. Step 2: Convert to fraction form
    207.71/311.51 = 115.11/x
  3. Step 3: Cross multiply
    207.71x = 311.51 × 115.11
  4. Step 4: Simplify right side
    207.71x = 35,857.92
  5. Step 5: Solve for x
    x = 35,857.92/207.71
  6. Step 6: Final answer
    x = 172.63

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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.