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Finding the Fourth Proportional to 319.78, 441.12 and 201.64

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Solution

The fourth proportional to 319.78, 441.12 and 201.64 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 441.12 = 201.64 : x
  2. Step 2: Convert to fraction form
    319.78/441.12 = 201.64/x
  3. Step 3: Cross multiply
    319.78x = 441.12 × 201.64
  4. Step 4: Simplify right side
    319.78x = 88,947.44
  5. Step 5: Solve for x
    x = 88,947.44/319.78
  6. Step 6: Final answer
    x = 278.15

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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.