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Finding the Fourth Proportional to 164.59, 226.75 and 123.07

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Solution

The fourth proportional to 164.59, 226.75 and 123.07 is: 169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.59 : 226.75 = 123.07 : x
  2. Step 2: Convert to fraction form
    164.59/226.75 = 123.07/x
  3. Step 3: Cross multiply
    164.59x = 226.75 × 123.07
  4. Step 4: Simplify right side
    164.59x = 27,906.12
  5. Step 5: Solve for x
    x = 27,906.12/164.59
  6. Step 6: Final answer
    x = 169.55

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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.