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Finding the Fourth Proportional to 164.65, 226.99 and 109.39

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Solution

The fourth proportional to 164.65, 226.99 and 109.39 is: 150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.65 : 226.99 = 109.39 : x
  2. Step 2: Convert to fraction form
    164.65/226.99 = 109.39/x
  3. Step 3: Cross multiply
    164.65x = 226.99 × 109.39
  4. Step 4: Simplify right side
    164.65x = 24,830.44
  5. Step 5: Solve for x
    x = 24,830.44/164.65
  6. Step 6: Final answer
    x = 150.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.