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Finding the Fourth Proportional to 278.73, 418.06 and 73.31

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Solution

The fourth proportional to 278.73, 418.06 and 73.31 is: 109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 418.06 = 73.31 : x
  2. Step 2: Convert to fraction form
    278.73/418.06 = 73.31/x
  3. Step 3: Cross multiply
    278.73x = 418.06 × 73.31
  4. Step 4: Simplify right side
    278.73x = 30,648.66
  5. Step 5: Solve for x
    x = 30,648.66/278.73
  6. Step 6: Final answer
    x = 109.96

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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.