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Finding the Fourth Proportional to 119.44, 164.14 and 116.20

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Solution

The fourth proportional to 119.44, 164.14 and 116.20 is: 159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.44 : 164.14 = 116.20 : x
  2. Step 2: Convert to fraction form
    119.44/164.14 = 116.20/x
  3. Step 3: Cross multiply
    119.44x = 164.14 × 116.20
  4. Step 4: Simplify right side
    119.44x = 19,073.07
  5. Step 5: Solve for x
    x = 19,073.07/119.44
  6. Step 6: Final answer
    x = 159.69

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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.