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Finding the Fourth Proportional to 164.40, 226.49 and 155.31

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Solution

The fourth proportional to 164.40, 226.49 and 155.31 is: 213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.40 : 226.49 = 155.31 : x
  2. Step 2: Convert to fraction form
    164.40/226.49 = 155.31/x
  3. Step 3: Cross multiply
    164.40x = 226.49 × 155.31
  4. Step 4: Simplify right side
    164.40x = 35,175.39
  5. Step 5: Solve for x
    x = 35,175.39/164.40
  6. Step 6: Final answer
    x = 213.96

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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.