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Finding the Fourth Proportional to 50, 69 and 43.84

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Solution

The fourth proportional to 50, 69 and 43.84 is: 60.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50 : 69 = 43.84 : x
  2. Step 2: Convert to fraction form
    50/69 = 43.84/x
  3. Step 3: Cross multiply
    50x = 69 × 43.84
  4. Step 4: Simplify right side
    50x = 3,024.96
  5. Step 5: Solve for x
    x = 3,024.96/50
  6. Step 6: Final answer
    x = 60.50

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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.