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Finding the Fourth Proportional to 163.22, 224.01 and 149.31

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Solution

The fourth proportional to 163.22, 224.01 and 149.31 is: 204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.22 : 224.01 = 149.31 : x
  2. Step 2: Convert to fraction form
    163.22/224.01 = 149.31/x
  3. Step 3: Cross multiply
    163.22x = 224.01 × 149.31
  4. Step 4: Simplify right side
    163.22x = 33,446.93
  5. Step 5: Solve for x
    x = 33,446.93/163.22
  6. Step 6: Final answer
    x = 204.93

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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.