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Finding the Fourth Proportional to 548.26, 822.39 and 223.45

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Solution

The fourth proportional to 548.26, 822.39 and 223.45 is: 335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.26 : 822.39 = 223.45 : x
  2. Step 2: Convert to fraction form
    548.26/822.39 = 223.45/x
  3. Step 3: Cross multiply
    548.26x = 822.39 × 223.45
  4. Step 4: Simplify right side
    548.26x = 183,763.05
  5. Step 5: Solve for x
    x = 183,763.05/548.26
  6. Step 6: Final answer
    x = 335.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.