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Finding the Fourth Proportional to 165.12, 248.32 and 164.48

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Solution

The fourth proportional to 165.12, 248.32 and 164.48 is: 247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.12 : 248.32 = 164.48 : x
  2. Step 2: Convert to fraction form
    165.12/248.32 = 164.48/x
  3. Step 3: Cross multiply
    165.12x = 248.32 × 164.48
  4. Step 4: Simplify right side
    165.12x = 40,843.67
  5. Step 5: Solve for x
    x = 40,843.67/165.12
  6. Step 6: Final answer
    x = 247.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.