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Finding the Fourth Proportional to 376.45, 517.28 and 306.34

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Solution

The fourth proportional to 376.45, 517.28 and 306.34 is: 420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.45 : 517.28 = 306.34 : x
  2. Step 2: Convert to fraction form
    376.45/517.28 = 306.34/x
  3. Step 3: Cross multiply
    376.45x = 517.28 × 306.34
  4. Step 4: Simplify right side
    376.45x = 158,463.56
  5. Step 5: Solve for x
    x = 158,463.56/376.45
  6. Step 6: Final answer
    x = 420.94

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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.