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Finding the Fourth Proportional to 278.54, 418.62 and 258.42

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Solution

The fourth proportional to 278.54, 418.62 and 258.42 is: 388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 418.62 = 258.42 : x
  2. Step 2: Convert to fraction form
    278.54/418.62 = 258.42/x
  3. Step 3: Cross multiply
    278.54x = 418.62 × 258.42
  4. Step 4: Simplify right side
    278.54x = 108,179.78
  5. Step 5: Solve for x
    x = 108,179.78/278.54
  6. Step 6: Final answer
    x = 388.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.