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Finding the Fourth Proportional to 109.00, 164.36 and 106.94

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Solution

The fourth proportional to 109.00, 164.36 and 106.94 is: 161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.00 : 164.36 = 106.94 : x
  2. Step 2: Convert to fraction form
    109.00/164.36 = 106.94/x
  3. Step 3: Cross multiply
    109.00x = 164.36 × 106.94
  4. Step 4: Simplify right side
    109.00x = 17,576.74
  5. Step 5: Solve for x
    x = 17,576.74/109.00
  6. Step 6: Final answer
    x = 161.26

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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.