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Finding the Fourth Proportional to 207.69, 311.27 and 99.24

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Solution

The fourth proportional to 207.69, 311.27 and 99.24 is: 148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.69 : 311.27 = 99.24 : x
  2. Step 2: Convert to fraction form
    207.69/311.27 = 99.24/x
  3. Step 3: Cross multiply
    207.69x = 311.27 × 99.24
  4. Step 4: Simplify right side
    207.69x = 30,889.94
  5. Step 5: Solve for x
    x = 30,889.94/207.69
  6. Step 6: Final answer
    x = 148.73

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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.