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Finding the Fourth Proportional to 163.39, 225.24 and 138.79

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Solution

The fourth proportional to 163.39, 225.24 and 138.79 is: 191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.39 : 225.24 = 138.79 : x
  2. Step 2: Convert to fraction form
    163.39/225.24 = 138.79/x
  3. Step 3: Cross multiply
    163.39x = 225.24 × 138.79
  4. Step 4: Simplify right side
    163.39x = 31,261.06
  5. Step 5: Solve for x
    x = 31,261.06/163.39
  6. Step 6: Final answer
    x = 191.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.