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Finding the Fourth Proportional to 164.16, 226.41 and 122.10

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Solution

The fourth proportional to 164.16, 226.41 and 122.10 is: 168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 226.41 = 122.10 : x
  2. Step 2: Convert to fraction form
    164.16/226.41 = 122.10/x
  3. Step 3: Cross multiply
    164.16x = 226.41 × 122.10
  4. Step 4: Simplify right side
    164.16x = 27,644.66
  5. Step 5: Solve for x
    x = 27,644.66/164.16
  6. Step 6: Final answer
    x = 168.40

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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.