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Finding the Fourth Proportional to 119.22, 164.74 and 84.38

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Solution

The fourth proportional to 119.22, 164.74 and 84.38 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.22 : 164.74 = 84.38 : x
  2. Step 2: Convert to fraction form
    119.22/164.74 = 84.38/x
  3. Step 3: Cross multiply
    119.22x = 164.74 × 84.38
  4. Step 4: Simplify right side
    119.22x = 13,900.76
  5. Step 5: Solve for x
    x = 13,900.76/119.22
  6. Step 6: Final answer
    x = 116.60

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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.