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Finding the Fourth Proportional to 376.06, 517.86 and 323.20

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Solution

The fourth proportional to 376.06, 517.86 and 323.20 is: 445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.06 : 517.86 = 323.20 : x
  2. Step 2: Convert to fraction form
    376.06/517.86 = 323.20/x
  3. Step 3: Cross multiply
    376.06x = 517.86 × 323.20
  4. Step 4: Simplify right side
    376.06x = 167,372.35
  5. Step 5: Solve for x
    x = 167,372.35/376.06
  6. Step 6: Final answer
    x = 445.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.