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Finding the Fourth Proportional to 164.17, 226.20 and 154.09

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Solution

The fourth proportional to 164.17, 226.20 and 154.09 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.17 : 226.20 = 154.09 : x
  2. Step 2: Convert to fraction form
    164.17/226.20 = 154.09/x
  3. Step 3: Cross multiply
    164.17x = 226.20 × 154.09
  4. Step 4: Simplify right side
    164.17x = 34,855.16
  5. Step 5: Solve for x
    x = 34,855.16/164.17
  6. Step 6: Final answer
    x = 212.31

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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.