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Finding the Fourth Proportional to 207.74, 311.13 and 167.10

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Solution

The fourth proportional to 207.74, 311.13 and 167.10 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.74 : 311.13 = 167.10 : x
  2. Step 2: Convert to fraction form
    207.74/311.13 = 167.10/x
  3. Step 3: Cross multiply
    207.74x = 311.13 × 167.10
  4. Step 4: Simplify right side
    207.74x = 51,989.82
  5. Step 5: Solve for x
    x = 51,989.82/207.74
  6. Step 6: Final answer
    x = 250.27

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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.