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Finding the Fourth Proportional to 275.09, 382.30 and 272.26

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Solution

The fourth proportional to 275.09, 382.30 and 272.26 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.09 : 382.30 = 272.26 : x
  2. Step 2: Convert to fraction form
    275.09/382.30 = 272.26/x
  3. Step 3: Cross multiply
    275.09x = 382.30 × 272.26
  4. Step 4: Simplify right side
    275.09x = 104,085.00
  5. Step 5: Solve for x
    x = 104,085.00/275.09
  6. Step 6: Final answer
    x = 378.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.