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Finding the Fourth Proportional to 163.29, 225.32 and 100.28

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Solution

The fourth proportional to 163.29, 225.32 and 100.28 is: 138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.29 : 225.32 = 100.28 : x
  2. Step 2: Convert to fraction form
    163.29/225.32 = 100.28/x
  3. Step 3: Cross multiply
    163.29x = 225.32 × 100.28
  4. Step 4: Simplify right side
    163.29x = 22,595.09
  5. Step 5: Solve for x
    x = 22,595.09/163.29
  6. Step 6: Final answer
    x = 138.37

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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.