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Finding the Fourth Proportional to 104.83, 144.69 and 84.09

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Solution

The fourth proportional to 104.83, 144.69 and 84.09 is: 116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.83 : 144.69 = 84.09 : x
  2. Step 2: Convert to fraction form
    104.83/144.69 = 84.09/x
  3. Step 3: Cross multiply
    104.83x = 144.69 × 84.09
  4. Step 4: Simplify right side
    104.83x = 12,166.98
  5. Step 5: Solve for x
    x = 12,166.98/104.83
  6. Step 6: Final answer
    x = 116.06

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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.