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Finding the Fourth Proportional to 50.41, 75.87 and 45.44

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Solution

The fourth proportional to 50.41, 75.87 and 45.44 is: 68.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.41 : 75.87 = 45.44 : x
  2. Step 2: Convert to fraction form
    50.41/75.87 = 45.44/x
  3. Step 3: Cross multiply
    50.41x = 75.87 × 45.44
  4. Step 4: Simplify right side
    50.41x = 3,447.53
  5. Step 5: Solve for x
    x = 3,447.53/50.41
  6. Step 6: Final answer
    x = 68.39

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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.