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Finding the Fourth Proportional to 275.56, 411.09 and 269.16

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Solution

The fourth proportional to 275.56, 411.09 and 269.16 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.56 : 411.09 = 269.16 : x
  2. Step 2: Convert to fraction form
    275.56/411.09 = 269.16/x
  3. Step 3: Cross multiply
    275.56x = 411.09 × 269.16
  4. Step 4: Simplify right side
    275.56x = 110,648.98
  5. Step 5: Solve for x
    x = 110,648.98/275.56
  6. Step 6: Final answer
    x = 401.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.