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Finding the Fourth Proportional to 278.69, 415.94 and 255.45

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Solution

The fourth proportional to 278.69, 415.94 and 255.45 is: 381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.69 : 415.94 = 255.45 : x
  2. Step 2: Convert to fraction form
    278.69/415.94 = 255.45/x
  3. Step 3: Cross multiply
    278.69x = 415.94 × 255.45
  4. Step 4: Simplify right side
    278.69x = 106,252.16
  5. Step 5: Solve for x
    x = 106,252.16/278.69
  6. Step 6: Final answer
    x = 381.25

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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.