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Finding the Fourth Proportional to 50.84, 75.82 and 49.94

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Solution

The fourth proportional to 50.84, 75.82 and 49.94 is: 74.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.84 : 75.82 = 49.94 : x
  2. Step 2: Convert to fraction form
    50.84/75.82 = 49.94/x
  3. Step 3: Cross multiply
    50.84x = 75.82 × 49.94
  4. Step 4: Simplify right side
    50.84x = 3,786.45
  5. Step 5: Solve for x
    x = 3,786.45/50.84
  6. Step 6: Final answer
    x = 74.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.