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Finding the Fourth Proportional to 119.66, 164.98 and 82.82

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Solution

The fourth proportional to 119.66, 164.98 and 82.82 is: 114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.66 : 164.98 = 82.82 : x
  2. Step 2: Convert to fraction form
    119.66/164.98 = 82.82/x
  3. Step 3: Cross multiply
    119.66x = 164.98 × 82.82
  4. Step 4: Simplify right side
    119.66x = 13,663.64
  5. Step 5: Solve for x
    x = 13,663.64/119.66
  6. Step 6: Final answer
    x = 114.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.