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Finding the Fourth Proportional to 165.76, 248.56 and 100.64

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Solution

The fourth proportional to 165.76, 248.56 and 100.64 is: 150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 248.56 = 100.64 : x
  2. Step 2: Convert to fraction form
    165.76/248.56 = 100.64/x
  3. Step 3: Cross multiply
    165.76x = 248.56 × 100.64
  4. Step 4: Simplify right side
    165.76x = 25,015.08
  5. Step 5: Solve for x
    x = 25,015.08/165.76
  6. Step 6: Final answer
    x = 150.91

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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.