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Finding the Fourth Proportional to 548.25, 822.69 and 219.12

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Solution

The fourth proportional to 548.25, 822.69 and 219.12 is: 328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.25 : 822.69 = 219.12 : x
  2. Step 2: Convert to fraction form
    548.25/822.69 = 219.12/x
  3. Step 3: Cross multiply
    548.25x = 822.69 × 219.12
  4. Step 4: Simplify right side
    548.25x = 180,267.83
  5. Step 5: Solve for x
    x = 180,267.83/548.25
  6. Step 6: Final answer
    x = 328.81

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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.