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Finding the Fourth Proportional to 165.76, 248.50 and 69.64

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Solution

The fourth proportional to 165.76, 248.50 and 69.64 is: 104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 248.50 = 69.64 : x
  2. Step 2: Convert to fraction form
    165.76/248.50 = 69.64/x
  3. Step 3: Cross multiply
    165.76x = 248.50 × 69.64
  4. Step 4: Simplify right side
    165.76x = 17,305.54
  5. Step 5: Solve for x
    x = 17,305.54/165.76
  6. Step 6: Final answer
    x = 104.40

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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.