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Finding the Fourth Proportional to 165.44, 226.36 and 164.76

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Solution

The fourth proportional to 165.44, 226.36 and 164.76 is: 225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.44 : 226.36 = 164.76 : x
  2. Step 2: Convert to fraction form
    165.44/226.36 = 164.76/x
  3. Step 3: Cross multiply
    165.44x = 226.36 × 164.76
  4. Step 4: Simplify right side
    165.44x = 37,295.07
  5. Step 5: Solve for x
    x = 37,295.07/165.44
  6. Step 6: Final answer
    x = 225.43

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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.