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Finding the Fourth Proportional to 319.82, 441.14 and 278.31

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Solution

The fourth proportional to 319.82, 441.14 and 278.31 is: 383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.82 : 441.14 = 278.31 : x
  2. Step 2: Convert to fraction form
    319.82/441.14 = 278.31/x
  3. Step 3: Cross multiply
    319.82x = 441.14 × 278.31
  4. Step 4: Simplify right side
    319.82x = 122,772.28
  5. Step 5: Solve for x
    x = 122,772.28/319.82
  6. Step 6: Final answer
    x = 383.88

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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.