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Finding the Fourth Proportional to 278.44, 386.38 and 270.88

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Solution

The fourth proportional to 278.44, 386.38 and 270.88 is: 375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 386.38 = 270.88 : x
  2. Step 2: Convert to fraction form
    278.44/386.38 = 270.88/x
  3. Step 3: Cross multiply
    278.44x = 386.38 × 270.88
  4. Step 4: Simplify right side
    278.44x = 104,662.61
  5. Step 5: Solve for x
    x = 104,662.61/278.44
  6. Step 6: Final answer
    x = 375.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.