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Finding the Fourth Proportional to 50.81, 76.69 and 50.27

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Solution

The fourth proportional to 50.81, 76.69 and 50.27 is: 75.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.81 : 76.69 = 50.27 : x
  2. Step 2: Convert to fraction form
    50.81/76.69 = 50.27/x
  3. Step 3: Cross multiply
    50.81x = 76.69 × 50.27
  4. Step 4: Simplify right side
    50.81x = 3,854.89
  5. Step 5: Solve for x
    x = 3,854.89/50.81
  6. Step 6: Final answer
    x = 75.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.