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Finding the Fourth Proportional to 164.50, 226.94 and 108.47

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Solution

The fourth proportional to 164.50, 226.94 and 108.47 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 226.94 = 108.47 : x
  2. Step 2: Convert to fraction form
    164.50/226.94 = 108.47/x
  3. Step 3: Cross multiply
    164.50x = 226.94 × 108.47
  4. Step 4: Simplify right side
    164.50x = 24,616.18
  5. Step 5: Solve for x
    x = 24,616.18/164.50
  6. Step 6: Final answer
    x = 149.64

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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.