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Finding the Fourth Proportional to 109.70, 164.72 and 104.83

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Solution

The fourth proportional to 109.70, 164.72 and 104.83 is: 157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.70 : 164.72 = 104.83 : x
  2. Step 2: Convert to fraction form
    109.70/164.72 = 104.83/x
  3. Step 3: Cross multiply
    109.70x = 164.72 × 104.83
  4. Step 4: Simplify right side
    109.70x = 17,267.36
  5. Step 5: Solve for x
    x = 17,267.36/109.70
  6. Step 6: Final answer
    x = 157.41

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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.