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Finding the Fourth Proportional to 50.89, 76.44 and 42.88

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Solution

The fourth proportional to 50.89, 76.44 and 42.88 is: 64.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.89 : 76.44 = 42.88 : x
  2. Step 2: Convert to fraction form
    50.89/76.44 = 42.88/x
  3. Step 3: Cross multiply
    50.89x = 76.44 × 42.88
  4. Step 4: Simplify right side
    50.89x = 3,277.75
  5. Step 5: Solve for x
    x = 3,277.75/50.89
  6. Step 6: Final answer
    x = 64.41

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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.