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Finding the Fourth Proportional to 50.18, 69.21 and 30.75

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Solution

The fourth proportional to 50.18, 69.21 and 30.75 is: 42.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.18 : 69.21 = 30.75 : x
  2. Step 2: Convert to fraction form
    50.18/69.21 = 30.75/x
  3. Step 3: Cross multiply
    50.18x = 69.21 × 30.75
  4. Step 4: Simplify right side
    50.18x = 2,128.21
  5. Step 5: Solve for x
    x = 2,128.21/50.18
  6. Step 6: Final answer
    x = 42.42

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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.