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Finding the Fourth Proportional to 110.92, 165.57 and 97.25

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Solution

The fourth proportional to 110.92, 165.57 and 97.25 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.92 : 165.57 = 97.25 : x
  2. Step 2: Convert to fraction form
    110.92/165.57 = 97.25/x
  3. Step 3: Cross multiply
    110.92x = 165.57 × 97.25
  4. Step 4: Simplify right side
    110.92x = 16,101.68
  5. Step 5: Solve for x
    x = 16,101.68/110.92
  6. Step 6: Final answer
    x = 145.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.