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Finding the Fourth Proportional to 278.96, 386.62 and 274.80

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Solution

The fourth proportional to 278.96, 386.62 and 274.80 is: 380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 386.62 = 274.80 : x
  2. Step 2: Convert to fraction form
    278.96/386.62 = 274.80/x
  3. Step 3: Cross multiply
    278.96x = 386.62 × 274.80
  4. Step 4: Simplify right side
    278.96x = 106,243.18
  5. Step 5: Solve for x
    x = 106,243.18/278.96
  6. Step 6: Final answer
    x = 380.85

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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.