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Finding the Fourth Proportional to 163.49, 225.81 and 149.69

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Solution

The fourth proportional to 163.49, 225.81 and 149.69 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.49 : 225.81 = 149.69 : x
  2. Step 2: Convert to fraction form
    163.49/225.81 = 149.69/x
  3. Step 3: Cross multiply
    163.49x = 225.81 × 149.69
  4. Step 4: Simplify right side
    163.49x = 33,801.50
  5. Step 5: Solve for x
    x = 33,801.50/163.49
  6. Step 6: Final answer
    x = 206.75

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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.