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Finding the Fourth Proportional to 109.77, 164.17 and 97.66

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Solution

The fourth proportional to 109.77, 164.17 and 97.66 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.77 : 164.17 = 97.66 : x
  2. Step 2: Convert to fraction form
    109.77/164.17 = 97.66/x
  3. Step 3: Cross multiply
    109.77x = 164.17 × 97.66
  4. Step 4: Simplify right side
    109.77x = 16,032.84
  5. Step 5: Solve for x
    x = 16,032.84/109.77
  6. Step 6: Final answer
    x = 146.06

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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.