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Finding the Fourth Proportional to 278.54, 382.33 and 246.76

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Solution

The fourth proportional to 278.54, 382.33 and 246.76 is: 338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 382.33 = 246.76 : x
  2. Step 2: Convert to fraction form
    278.54/382.33 = 246.76/x
  3. Step 3: Cross multiply
    278.54x = 382.33 × 246.76
  4. Step 4: Simplify right side
    278.54x = 94,343.75
  5. Step 5: Solve for x
    x = 94,343.75/278.54
  6. Step 6: Final answer
    x = 338.71

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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.