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Finding the Fourth Proportional to 207.96, 311.67 and 179.07

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Solution

The fourth proportional to 207.96, 311.67 and 179.07 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 311.67 = 179.07 : x
  2. Step 2: Convert to fraction form
    207.96/311.67 = 179.07/x
  3. Step 3: Cross multiply
    207.96x = 311.67 × 179.07
  4. Step 4: Simplify right side
    207.96x = 55,810.75
  5. Step 5: Solve for x
    x = 55,810.75/207.96
  6. Step 6: Final answer
    x = 268.37

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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.