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Finding the Fourth Proportional to 164.40, 226.89 and 163.98

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Solution

The fourth proportional to 164.40, 226.89 and 163.98 is: 226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.40 : 226.89 = 163.98 : x
  2. Step 2: Convert to fraction form
    164.40/226.89 = 163.98/x
  3. Step 3: Cross multiply
    164.40x = 226.89 × 163.98
  4. Step 4: Simplify right side
    164.40x = 37,205.42
  5. Step 5: Solve for x
    x = 37,205.42/164.40
  6. Step 6: Final answer
    x = 226.31

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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.