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Finding the Fourth Proportional to 273.65, 411.18 and 205.81

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Solution

The fourth proportional to 273.65, 411.18 and 205.81 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.65 : 411.18 = 205.81 : x
  2. Step 2: Convert to fraction form
    273.65/411.18 = 205.81/x
  3. Step 3: Cross multiply
    273.65x = 411.18 × 205.81
  4. Step 4: Simplify right side
    273.65x = 84,626.24
  5. Step 5: Solve for x
    x = 84,626.24/273.65
  6. Step 6: Final answer
    x = 309.25

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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.