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Finding the Fourth Proportional to 109.77, 164.79 and 107.94

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Solution

The fourth proportional to 109.77, 164.79 and 107.94 is: 162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.77 : 164.79 = 107.94 : x
  2. Step 2: Convert to fraction form
    109.77/164.79 = 107.94/x
  3. Step 3: Cross multiply
    109.77x = 164.79 × 107.94
  4. Step 4: Simplify right side
    109.77x = 17,787.43
  5. Step 5: Solve for x
    x = 17,787.43/109.77
  6. Step 6: Final answer
    x = 162.04

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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.