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Finding the Fourth Proportional to 377.69, 518.09 and 357.84

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Solution

The fourth proportional to 377.69, 518.09 and 357.84 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.69 : 518.09 = 357.84 : x
  2. Step 2: Convert to fraction form
    377.69/518.09 = 357.84/x
  3. Step 3: Cross multiply
    377.69x = 518.09 × 357.84
  4. Step 4: Simplify right side
    377.69x = 185,391.54
  5. Step 5: Solve for x
    x = 185,391.54/377.69
  6. Step 6: Final answer
    x = 490.86

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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.