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Finding the Fourth Proportional to 278.37, 415.23 and 254.78

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Solution

The fourth proportional to 278.37, 415.23 and 254.78 is: 380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.37 : 415.23 = 254.78 : x
  2. Step 2: Convert to fraction form
    278.37/415.23 = 254.78/x
  3. Step 3: Cross multiply
    278.37x = 415.23 × 254.78
  4. Step 4: Simplify right side
    278.37x = 105,790.82
  5. Step 5: Solve for x
    x = 105,790.82/278.37
  6. Step 6: Final answer
    x = 380.04

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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.