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Finding the Fourth Proportional to 278.74, 387.74 and 273.46

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Solution

The fourth proportional to 278.74, 387.74 and 273.46 is: 380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.74 : 387.74 = 273.46 : x
  2. Step 2: Convert to fraction form
    278.74/387.74 = 273.46/x
  3. Step 3: Cross multiply
    278.74x = 387.74 × 273.46
  4. Step 4: Simplify right side
    278.74x = 106,030.01
  5. Step 5: Solve for x
    x = 106,030.01/278.74
  6. Step 6: Final answer
    x = 380.39

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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.