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Finding the Fourth Proportional to 376.45, 519.41 and 210.65

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Solution

The fourth proportional to 376.45, 519.41 and 210.65 is: 290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.45 : 519.41 = 210.65 : x
  2. Step 2: Convert to fraction form
    376.45/519.41 = 210.65/x
  3. Step 3: Cross multiply
    376.45x = 519.41 × 210.65
  4. Step 4: Simplify right side
    376.45x = 109,413.96
  5. Step 5: Solve for x
    x = 109,413.96/376.45
  6. Step 6: Final answer
    x = 290.65

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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.