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Finding the Fourth Proportional to 104.98, 157.49 and 50.94

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Solution

The fourth proportional to 104.98, 157.49 and 50.94 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.98 : 157.49 = 50.94 : x
  2. Step 2: Convert to fraction form
    104.98/157.49 = 50.94/x
  3. Step 3: Cross multiply
    104.98x = 157.49 × 50.94
  4. Step 4: Simplify right side
    104.98x = 8,022.54
  5. Step 5: Solve for x
    x = 8,022.54/104.98
  6. Step 6: Final answer
    x = 76.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.