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Finding the Fourth Proportional to 119.82, 164.38 and 118.88

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Solution

The fourth proportional to 119.82, 164.38 and 118.88 is: 163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.82 : 164.38 = 118.88 : x
  2. Step 2: Convert to fraction form
    119.82/164.38 = 118.88/x
  3. Step 3: Cross multiply
    119.82x = 164.38 × 118.88
  4. Step 4: Simplify right side
    119.82x = 19,541.49
  5. Step 5: Solve for x
    x = 19,541.49/119.82
  6. Step 6: Final answer
    x = 163.09

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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.