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Finding the Fourth Proportional to 105.82, 146.00 and 79.65

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Solution

The fourth proportional to 105.82, 146.00 and 79.65 is: 109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 146.00 = 79.65 : x
  2. Step 2: Convert to fraction form
    105.82/146.00 = 79.65/x
  3. Step 3: Cross multiply
    105.82x = 146.00 × 79.65
  4. Step 4: Simplify right side
    105.82x = 11,629.65
  5. Step 5: Solve for x
    x = 11,629.65/105.82
  6. Step 6: Final answer
    x = 109.90

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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.