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Finding the Fourth Proportional to 163.50, 244.09 and 141.81

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Solution

The fourth proportional to 163.50, 244.09 and 141.81 is: 211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.50 : 244.09 = 141.81 : x
  2. Step 2: Convert to fraction form
    163.50/244.09 = 141.81/x
  3. Step 3: Cross multiply
    163.50x = 244.09 × 141.81
  4. Step 4: Simplify right side
    163.50x = 34,614.40
  5. Step 5: Solve for x
    x = 34,614.40/163.50
  6. Step 6: Final answer
    x = 211.71

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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.