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Finding the Fourth Proportional to 273.96, 411.30 and 129.78

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Solution

The fourth proportional to 273.96, 411.30 and 129.78 is: 194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 411.30 = 129.78 : x
  2. Step 2: Convert to fraction form
    273.96/411.30 = 129.78/x
  3. Step 3: Cross multiply
    273.96x = 411.30 × 129.78
  4. Step 4: Simplify right side
    273.96x = 53,378.51
  5. Step 5: Solve for x
    x = 53,378.51/273.96
  6. Step 6: Final answer
    x = 194.84

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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.