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Finding the Fourth Proportional to 376.18, 519.41 and 342.97

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Solution

The fourth proportional to 376.18, 519.41 and 342.97 is: 473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.18 : 519.41 = 342.97 : x
  2. Step 2: Convert to fraction form
    376.18/519.41 = 342.97/x
  3. Step 3: Cross multiply
    376.18x = 519.41 × 342.97
  4. Step 4: Simplify right side
    376.18x = 178,137.74
  5. Step 5: Solve for x
    x = 178,137.74/376.18
  6. Step 6: Final answer
    x = 473.55

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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.