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Finding the Fourth Proportional to 165.50, 248.10 and 69.32

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Solution

The fourth proportional to 165.50, 248.10 and 69.32 is: 103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.50 : 248.10 = 69.32 : x
  2. Step 2: Convert to fraction form
    165.50/248.10 = 69.32/x
  3. Step 3: Cross multiply
    165.50x = 248.10 × 69.32
  4. Step 4: Simplify right side
    165.50x = 17,198.29
  5. Step 5: Solve for x
    x = 17,198.29/165.50
  6. Step 6: Final answer
    x = 103.92

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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.