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Finding the Fourth Proportional to 50.63, 69.78 and 38.95

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Solution

The fourth proportional to 50.63, 69.78 and 38.95 is: 53.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.63 : 69.78 = 38.95 : x
  2. Step 2: Convert to fraction form
    50.63/69.78 = 38.95/x
  3. Step 3: Cross multiply
    50.63x = 69.78 × 38.95
  4. Step 4: Simplify right side
    50.63x = 2,717.58
  5. Step 5: Solve for x
    x = 2,717.58/50.63
  6. Step 6: Final answer
    x = 53.68

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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.