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Finding the Fourth Proportional to 164.78, 227.22 and 118.07

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Solution

The fourth proportional to 164.78, 227.22 and 118.07 is: 162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.78 : 227.22 = 118.07 : x
  2. Step 2: Convert to fraction form
    164.78/227.22 = 118.07/x
  3. Step 3: Cross multiply
    164.78x = 227.22 × 118.07
  4. Step 4: Simplify right side
    164.78x = 26,826.73
  5. Step 5: Solve for x
    x = 26,826.73/164.78
  6. Step 6: Final answer
    x = 162.81

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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.