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Finding the Fourth Proportional to 165.64, 249.73 and 164.26

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Solution

The fourth proportional to 165.64, 249.73 and 164.26 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.64 : 249.73 = 164.26 : x
  2. Step 2: Convert to fraction form
    165.64/249.73 = 164.26/x
  3. Step 3: Cross multiply
    165.64x = 249.73 × 164.26
  4. Step 4: Simplify right side
    165.64x = 41,020.65
  5. Step 5: Solve for x
    x = 41,020.65/165.64
  6. Step 6: Final answer
    x = 247.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.