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Finding the Fourth Proportional to 273.84, 408.92 and 259.80

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Solution

The fourth proportional to 273.84, 408.92 and 259.80 is: 387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.84 : 408.92 = 259.80 : x
  2. Step 2: Convert to fraction form
    273.84/408.92 = 259.80/x
  3. Step 3: Cross multiply
    273.84x = 408.92 × 259.80
  4. Step 4: Simplify right side
    273.84x = 106,237.42
  5. Step 5: Solve for x
    x = 106,237.42/273.84
  6. Step 6: Final answer
    x = 387.95

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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.