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Finding the Fourth Proportional to 164.12, 225.96 and 131.18

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Solution

The fourth proportional to 164.12, 225.96 and 131.18 is: 180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.12 : 225.96 = 131.18 : x
  2. Step 2: Convert to fraction form
    164.12/225.96 = 131.18/x
  3. Step 3: Cross multiply
    164.12x = 225.96 × 131.18
  4. Step 4: Simplify right side
    164.12x = 29,641.43
  5. Step 5: Solve for x
    x = 29,641.43/164.12
  6. Step 6: Final answer
    x = 180.61

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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.