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Finding the Fourth Proportional to 278.22, 414.83 and 255.09

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Solution

The fourth proportional to 278.22, 414.83 and 255.09 is: 380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 414.83 = 255.09 : x
  2. Step 2: Convert to fraction form
    278.22/414.83 = 255.09/x
  3. Step 3: Cross multiply
    278.22x = 414.83 × 255.09
  4. Step 4: Simplify right side
    278.22x = 105,817.71
  5. Step 5: Solve for x
    x = 105,817.71/278.22
  6. Step 6: Final answer
    x = 380.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.