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Finding the Fourth Proportional to 163.25, 226.40 and 149.58

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Solution

The fourth proportional to 163.25, 226.40 and 149.58 is: 207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.25 : 226.40 = 149.58 : x
  2. Step 2: Convert to fraction form
    163.25/226.40 = 149.58/x
  3. Step 3: Cross multiply
    163.25x = 226.40 × 149.58
  4. Step 4: Simplify right side
    163.25x = 33,864.16
  5. Step 5: Solve for x
    x = 33,864.16/163.25
  6. Step 6: Final answer
    x = 207.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.