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Finding the Fourth Proportional to 319.67, 441.33 and 201.80

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Solution

The fourth proportional to 319.67, 441.33 and 201.80 is: 278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.67 : 441.33 = 201.80 : x
  2. Step 2: Convert to fraction form
    319.67/441.33 = 201.80/x
  3. Step 3: Cross multiply
    319.67x = 441.33 × 201.80
  4. Step 4: Simplify right side
    319.67x = 89,059.39
  5. Step 5: Solve for x
    x = 89,059.39/319.67
  6. Step 6: Final answer
    x = 278.60

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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.