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Finding the Fourth Proportional to 548.18, 822.25 and 219.22

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Solution

The fourth proportional to 548.18, 822.25 and 219.22 is: 328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.18 : 822.25 = 219.22 : x
  2. Step 2: Convert to fraction form
    548.18/822.25 = 219.22/x
  3. Step 3: Cross multiply
    548.18x = 822.25 × 219.22
  4. Step 4: Simplify right side
    548.18x = 180,253.65
  5. Step 5: Solve for x
    x = 180,253.65/548.18
  6. Step 6: Final answer
    x = 328.82

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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.