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Finding the Fourth Proportional to 163.80, 225.90 and 120.24

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Solution

The fourth proportional to 163.80, 225.90 and 120.24 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.80 : 225.90 = 120.24 : x
  2. Step 2: Convert to fraction form
    163.80/225.90 = 120.24/x
  3. Step 3: Cross multiply
    163.80x = 225.90 × 120.24
  4. Step 4: Simplify right side
    163.80x = 27,162.22
  5. Step 5: Solve for x
    x = 27,162.22/163.80
  6. Step 6: Final answer
    x = 165.83

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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.