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Finding the Fourth Proportional to 164.54, 227.05 and 120.90

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Solution

The fourth proportional to 164.54, 227.05 and 120.90 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.54 : 227.05 = 120.90 : x
  2. Step 2: Convert to fraction form
    164.54/227.05 = 120.90/x
  3. Step 3: Cross multiply
    164.54x = 227.05 × 120.90
  4. Step 4: Simplify right side
    164.54x = 27,450.35
  5. Step 5: Solve for x
    x = 27,450.35/164.54
  6. Step 6: Final answer
    x = 166.83

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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.