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Finding the Fourth Proportional to 105.92, 146.80 and 104

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Solution

The fourth proportional to 105.92, 146.80 and 104 is: 144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 146.80 = 104 : x
  2. Step 2: Convert to fraction form
    105.92/146.80 = 104/x
  3. Step 3: Cross multiply
    105.92x = 146.80 × 104
  4. Step 4: Simplify right side
    105.92x = 15,267.20
  5. Step 5: Solve for x
    x = 15,267.20/105.92
  6. Step 6: Final answer
    x = 144.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.