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Finding the Fourth Proportional to 164.56, 247.78 and 119.22

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Solution

The fourth proportional to 164.56, 247.78 and 119.22 is: 179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.56 : 247.78 = 119.22 : x
  2. Step 2: Convert to fraction form
    164.56/247.78 = 119.22/x
  3. Step 3: Cross multiply
    164.56x = 247.78 × 119.22
  4. Step 4: Simplify right side
    164.56x = 29,540.33
  5. Step 5: Solve for x
    x = 29,540.33/164.56
  6. Step 6: Final answer
    x = 179.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.