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Finding the Fourth Proportional to 544.18, 815.78 and 219.78

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Solution

The fourth proportional to 544.18, 815.78 and 219.78 is: 329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.18 : 815.78 = 219.78 : x
  2. Step 2: Convert to fraction form
    544.18/815.78 = 219.78/x
  3. Step 3: Cross multiply
    544.18x = 815.78 × 219.78
  4. Step 4: Simplify right side
    544.18x = 179,292.13
  5. Step 5: Solve for x
    x = 179,292.13/544.18
  6. Step 6: Final answer
    x = 329.47

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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.