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Finding the Fourth Proportional to 163.92, 246.18 and 133.17

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Solution

The fourth proportional to 163.92, 246.18 and 133.17 is: 199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 246.18 = 133.17 : x
  2. Step 2: Convert to fraction form
    163.92/246.18 = 133.17/x
  3. Step 3: Cross multiply
    163.92x = 246.18 × 133.17
  4. Step 4: Simplify right side
    163.92x = 32,782.56
  5. Step 5: Solve for x
    x = 32,782.56/163.92
  6. Step 6: Final answer
    x = 199.99

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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.