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Finding the Fourth Proportional to 50.27, 75.43 and 22.85

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Solution

The fourth proportional to 50.27, 75.43 and 22.85 is: 34.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.27 : 75.43 = 22.85 : x
  2. Step 2: Convert to fraction form
    50.27/75.43 = 22.85/x
  3. Step 3: Cross multiply
    50.27x = 75.43 × 22.85
  4. Step 4: Simplify right side
    50.27x = 1,723.51
  5. Step 5: Solve for x
    x = 1,723.51/50.27
  6. Step 6: Final answer
    x = 34.28

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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.