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Finding the Fourth Proportional to 69.74, 104.31 and 50.26

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Solution

The fourth proportional to 69.74, 104.31 and 50.26 is: 75.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.74 : 104.31 = 50.26 : x
  2. Step 2: Convert to fraction form
    69.74/104.31 = 50.26/x
  3. Step 3: Cross multiply
    69.74x = 104.31 × 50.26
  4. Step 4: Simplify right side
    69.74x = 5,242.72
  5. Step 5: Solve for x
    x = 5,242.72/69.74
  6. Step 6: Final answer
    x = 75.18

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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.