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Finding the Fourth Proportional to 163.08, 225.18 and 138.24

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Solution

The fourth proportional to 163.08, 225.18 and 138.24 is: 190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 225.18 = 138.24 : x
  2. Step 2: Convert to fraction form
    163.08/225.18 = 138.24/x
  3. Step 3: Cross multiply
    163.08x = 225.18 × 138.24
  4. Step 4: Simplify right side
    163.08x = 31,128.88
  5. Step 5: Solve for x
    x = 31,128.88/163.08
  6. Step 6: Final answer
    x = 190.88

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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.