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Finding the Fourth Proportional to 109.82, 165.41 and 97.17

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Solution

The fourth proportional to 109.82, 165.41 and 97.17 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 165.41 = 97.17 : x
  2. Step 2: Convert to fraction form
    109.82/165.41 = 97.17/x
  3. Step 3: Cross multiply
    109.82x = 165.41 × 97.17
  4. Step 4: Simplify right side
    109.82x = 16,072.15
  5. Step 5: Solve for x
    x = 16,072.15/109.82
  6. Step 6: Final answer
    x = 146.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.