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Finding the Fourth Proportional to 275.68, 411.88 and 273.25

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Solution

The fourth proportional to 275.68, 411.88 and 273.25 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.68 : 411.88 = 273.25 : x
  2. Step 2: Convert to fraction form
    275.68/411.88 = 273.25/x
  3. Step 3: Cross multiply
    275.68x = 411.88 × 273.25
  4. Step 4: Simplify right side
    275.68x = 112,546.21
  5. Step 5: Solve for x
    x = 112,546.21/275.68
  6. Step 6: Final answer
    x = 408.25

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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.