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Finding the Fourth Proportional to 163.50, 244.16 and 132.99

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Solution

The fourth proportional to 163.50, 244.16 and 132.99 is: 198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.50 : 244.16 = 132.99 : x
  2. Step 2: Convert to fraction form
    163.50/244.16 = 132.99/x
  3. Step 3: Cross multiply
    163.50x = 244.16 × 132.99
  4. Step 4: Simplify right side
    163.50x = 32,470.17
  5. Step 5: Solve for x
    x = 32,470.17/163.50
  6. Step 6: Final answer
    x = 198.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.