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Finding the Fourth Proportional to 104, 143.46 and 76.33

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Solution

The fourth proportional to 104, 143.46 and 76.33 is: 105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104 : 143.46 = 76.33 : x
  2. Step 2: Convert to fraction form
    104/143.46 = 76.33/x
  3. Step 3: Cross multiply
    104x = 143.46 × 76.33
  4. Step 4: Simplify right side
    104x = 10,950.30
  5. Step 5: Solve for x
    x = 10,950.30/104
  6. Step 6: Final answer
    x = 105.29

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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.