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Finding the Fourth Proportional to 278.56, 385.96 and 259.84

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Solution

The fourth proportional to 278.56, 385.96 and 259.84 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 385.96 = 259.84 : x
  2. Step 2: Convert to fraction form
    278.56/385.96 = 259.84/x
  3. Step 3: Cross multiply
    278.56x = 385.96 × 259.84
  4. Step 4: Simplify right side
    278.56x = 100,287.85
  5. Step 5: Solve for x
    x = 100,287.85/278.56
  6. Step 6: Final answer
    x = 360.02

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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.