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Finding the Fourth Proportional to 164.07, 226.26 and 122.58

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Solution

The fourth proportional to 164.07, 226.26 and 122.58 is: 169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.07 : 226.26 = 122.58 : x
  2. Step 2: Convert to fraction form
    164.07/226.26 = 122.58/x
  3. Step 3: Cross multiply
    164.07x = 226.26 × 122.58
  4. Step 4: Simplify right side
    164.07x = 27,734.95
  5. Step 5: Solve for x
    x = 27,734.95/164.07
  6. Step 6: Final answer
    x = 169.04

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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.