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Finding the Fourth Proportional to 120.28, 164.60 and 117.76

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Solution

The fourth proportional to 120.28, 164.60 and 117.76 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.28 : 164.60 = 117.76 : x
  2. Step 2: Convert to fraction form
    120.28/164.60 = 117.76/x
  3. Step 3: Cross multiply
    120.28x = 164.60 × 117.76
  4. Step 4: Simplify right side
    120.28x = 19,383.30
  5. Step 5: Solve for x
    x = 19,383.30/120.28
  6. Step 6: Final answer
    x = 161.15

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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.