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Finding the Fourth Proportional to 104.92, 144.60 and 86.44

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Solution

The fourth proportional to 104.92, 144.60 and 86.44 is: 119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.92 : 144.60 = 86.44 : x
  2. Step 2: Convert to fraction form
    104.92/144.60 = 86.44/x
  3. Step 3: Cross multiply
    104.92x = 144.60 × 86.44
  4. Step 4: Simplify right side
    104.92x = 12,499.22
  5. Step 5: Solve for x
    x = 12,499.22/104.92
  6. Step 6: Final answer
    x = 119.13

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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.