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Finding the Fourth Proportional to 163.99, 246.11 and 82.79

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Solution

The fourth proportional to 163.99, 246.11 and 82.79 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.99 : 246.11 = 82.79 : x
  2. Step 2: Convert to fraction form
    163.99/246.11 = 82.79/x
  3. Step 3: Cross multiply
    163.99x = 246.11 × 82.79
  4. Step 4: Simplify right side
    163.99x = 20,373.80
  5. Step 5: Solve for x
    x = 20,373.80/163.99
  6. Step 6: Final answer
    x = 124.24

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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.