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Finding the Fourth Proportional to 50.82, 75.95 and 37.99

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Solution

The fourth proportional to 50.82, 75.95 and 37.99 is: 56.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.82 : 75.95 = 37.99 : x
  2. Step 2: Convert to fraction form
    50.82/75.95 = 37.99/x
  3. Step 3: Cross multiply
    50.82x = 75.95 × 37.99
  4. Step 4: Simplify right side
    50.82x = 2,885.34
  5. Step 5: Solve for x
    x = 2,885.34/50.82
  6. Step 6: Final answer
    x = 56.78

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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.