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Finding the Fourth Proportional to 319.59, 441.09 and 186.84

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Solution

The fourth proportional to 319.59, 441.09 and 186.84 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.59 : 441.09 = 186.84 : x
  2. Step 2: Convert to fraction form
    319.59/441.09 = 186.84/x
  3. Step 3: Cross multiply
    319.59x = 441.09 × 186.84
  4. Step 4: Simplify right side
    319.59x = 82,413.26
  5. Step 5: Solve for x
    x = 82,413.26/319.59
  6. Step 6: Final answer
    x = 257.87

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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.