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Finding the Fourth Proportional to 319.80, 441.96 and 278.04

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Solution

The fourth proportional to 319.80, 441.96 and 278.04 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.80 : 441.96 = 278.04 : x
  2. Step 2: Convert to fraction form
    319.80/441.96 = 278.04/x
  3. Step 3: Cross multiply
    319.80x = 441.96 × 278.04
  4. Step 4: Simplify right side
    319.80x = 122,882.56
  5. Step 5: Solve for x
    x = 122,882.56/319.80
  6. Step 6: Final answer
    x = 384.25

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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.