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Finding the Fourth Proportional to 164.88, 225.96 and 161.76

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Solution

The fourth proportional to 164.88, 225.96 and 161.76 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.88 : 225.96 = 161.76 : x
  2. Step 2: Convert to fraction form
    164.88/225.96 = 161.76/x
  3. Step 3: Cross multiply
    164.88x = 225.96 × 161.76
  4. Step 4: Simplify right side
    164.88x = 36,551.29
  5. Step 5: Solve for x
    x = 36,551.29/164.88
  6. Step 6: Final answer
    x = 221.68

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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.