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Finding the Fourth Proportional to 165.24, 249.30 and 164.78

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Solution

The fourth proportional to 165.24, 249.30 and 164.78 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 249.30 = 164.78 : x
  2. Step 2: Convert to fraction form
    165.24/249.30 = 164.78/x
  3. Step 3: Cross multiply
    165.24x = 249.30 × 164.78
  4. Step 4: Simplify right side
    165.24x = 41,081.21
  5. Step 5: Solve for x
    x = 41,081.21/165.24
  6. Step 6: Final answer
    x = 248.62

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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.