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Finding the Fourth Proportional to 377.84, 519.12 and 351.12

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Solution

The fourth proportional to 377.84, 519.12 and 351.12 is: 482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.84 : 519.12 = 351.12 : x
  2. Step 2: Convert to fraction form
    377.84/519.12 = 351.12/x
  3. Step 3: Cross multiply
    377.84x = 519.12 × 351.12
  4. Step 4: Simplify right side
    377.84x = 182,273.41
  5. Step 5: Solve for x
    x = 182,273.41/377.84
  6. Step 6: Final answer
    x = 482.41

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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.