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Finding the Fourth Proportional to 50.12, 69.13 and 36.10

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Solution

The fourth proportional to 50.12, 69.13 and 36.10 is: 49.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.12 : 69.13 = 36.10 : x
  2. Step 2: Convert to fraction form
    50.12/69.13 = 36.10/x
  3. Step 3: Cross multiply
    50.12x = 69.13 × 36.10
  4. Step 4: Simplify right side
    50.12x = 2,495.59
  5. Step 5: Solve for x
    x = 2,495.59/50.12
  6. Step 6: Final answer
    x = 49.79

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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.