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Finding the Fourth Proportional to 278.03, 380.27 and 273.78

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Solution

The fourth proportional to 278.03, 380.27 and 273.78 is: 374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.03 : 380.27 = 273.78 : x
  2. Step 2: Convert to fraction form
    278.03/380.27 = 273.78/x
  3. Step 3: Cross multiply
    278.03x = 380.27 × 273.78
  4. Step 4: Simplify right side
    278.03x = 104,111.01
  5. Step 5: Solve for x
    x = 104,111.01/278.03
  6. Step 6: Final answer
    x = 374.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.