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Finding the Fourth Proportional to 376.95, 517.97 and 306.84

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Solution

The fourth proportional to 376.95, 517.97 and 306.84 is: 421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.95 : 517.97 = 306.84 : x
  2. Step 2: Convert to fraction form
    376.95/517.97 = 306.84/x
  3. Step 3: Cross multiply
    376.95x = 517.97 × 306.84
  4. Step 4: Simplify right side
    376.95x = 158,932.38
  5. Step 5: Solve for x
    x = 158,932.38/376.95
  6. Step 6: Final answer
    x = 421.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.