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Finding the Fourth Proportional to 165.52, 248.26 and 96.90

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Solution

The fourth proportional to 165.52, 248.26 and 96.90 is: 145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.52 : 248.26 = 96.90 : x
  2. Step 2: Convert to fraction form
    165.52/248.26 = 96.90/x
  3. Step 3: Cross multiply
    165.52x = 248.26 × 96.90
  4. Step 4: Simplify right side
    165.52x = 24,056.39
  5. Step 5: Solve for x
    x = 24,056.39/165.52
  6. Step 6: Final answer
    x = 145.34

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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.