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Finding the Fourth Proportional to 165.08, 226.51 and 164.60

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Solution

The fourth proportional to 165.08, 226.51 and 164.60 is: 225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.08 : 226.51 = 164.60 : x
  2. Step 2: Convert to fraction form
    165.08/226.51 = 164.60/x
  3. Step 3: Cross multiply
    165.08x = 226.51 × 164.60
  4. Step 4: Simplify right side
    165.08x = 37,283.55
  5. Step 5: Solve for x
    x = 37,283.55/165.08
  6. Step 6: Final answer
    x = 225.85

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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.