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Finding the Fourth Proportional to 163.99, 224.84 and 161.07

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Solution

The fourth proportional to 163.99, 224.84 and 161.07 is: 220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.99 : 224.84 = 161.07 : x
  2. Step 2: Convert to fraction form
    163.99/224.84 = 161.07/x
  3. Step 3: Cross multiply
    163.99x = 224.84 × 161.07
  4. Step 4: Simplify right side
    163.99x = 36,213.85
  5. Step 5: Solve for x
    x = 36,213.85/163.99
  6. Step 6: Final answer
    x = 220.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.