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Finding the Fourth Proportional to 163.19, 224.22 and 144.74

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Solution

The fourth proportional to 163.19, 224.22 and 144.74 is: 198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.19 : 224.22 = 144.74 : x
  2. Step 2: Convert to fraction form
    163.19/224.22 = 144.74/x
  3. Step 3: Cross multiply
    163.19x = 224.22 × 144.74
  4. Step 4: Simplify right side
    163.19x = 32,452.48
  5. Step 5: Solve for x
    x = 32,452.48/163.19
  6. Step 6: Final answer
    x = 198.87

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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.