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Finding the Fourth Proportional to 273.66, 411.43 and 219.93

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Solution

The fourth proportional to 273.66, 411.43 and 219.93 is: 330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.66 : 411.43 = 219.93 : x
  2. Step 2: Convert to fraction form
    273.66/411.43 = 219.93/x
  3. Step 3: Cross multiply
    273.66x = 411.43 × 219.93
  4. Step 4: Simplify right side
    273.66x = 90,483.74
  5. Step 5: Solve for x
    x = 90,483.74/273.66
  6. Step 6: Final answer
    x = 330.65

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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.