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Finding the Fourth Proportional to 165.42, 226.86 and 164.61

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Solution

The fourth proportional to 165.42, 226.86 and 164.61 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 226.86 = 164.61 : x
  2. Step 2: Convert to fraction form
    165.42/226.86 = 164.61/x
  3. Step 3: Cross multiply
    165.42x = 226.86 × 164.61
  4. Step 4: Simplify right side
    165.42x = 37,343.42
  5. Step 5: Solve for x
    x = 37,343.42/165.42
  6. Step 6: Final answer
    x = 225.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.