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Finding the Fourth Proportional to 164.22, 246.07 and 81.95

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Solution

The fourth proportional to 164.22, 246.07 and 81.95 is: 122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.22 : 246.07 = 81.95 : x
  2. Step 2: Convert to fraction form
    164.22/246.07 = 81.95/x
  3. Step 3: Cross multiply
    164.22x = 246.07 × 81.95
  4. Step 4: Simplify right side
    164.22x = 20,165.44
  5. Step 5: Solve for x
    x = 20,165.44/164.22
  6. Step 6: Final answer
    x = 122.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.