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Finding the Fourth Proportional to 119.40, 164.83 and 84.45

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Solution

The fourth proportional to 119.40, 164.83 and 84.45 is: 116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.40 : 164.83 = 84.45 : x
  2. Step 2: Convert to fraction form
    119.40/164.83 = 84.45/x
  3. Step 3: Cross multiply
    119.40x = 164.83 × 84.45
  4. Step 4: Simplify right side
    119.40x = 13,920.09
  5. Step 5: Solve for x
    x = 13,920.09/119.40
  6. Step 6: Final answer
    x = 116.59

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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.