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Finding the Fourth Proportional to 164.37, 225.36 and 161.44

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Solution

The fourth proportional to 164.37, 225.36 and 161.44 is: 221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.37 : 225.36 = 161.44 : x
  2. Step 2: Convert to fraction form
    164.37/225.36 = 161.44/x
  3. Step 3: Cross multiply
    164.37x = 225.36 × 161.44
  4. Step 4: Simplify right side
    164.37x = 36,381.31
  5. Step 5: Solve for x
    x = 36,381.31/164.37
  6. Step 6: Final answer
    x = 221.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.