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Finding the Fourth Proportional to 543.88, 816.26 and 219.48

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Solution

The fourth proportional to 543.88, 816.26 and 219.48 is: 329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.88 : 816.26 = 219.48 : x
  2. Step 2: Convert to fraction form
    543.88/816.26 = 219.48/x
  3. Step 3: Cross multiply
    543.88x = 816.26 × 219.48
  4. Step 4: Simplify right side
    543.88x = 179,152.74
  5. Step 5: Solve for x
    x = 179,152.74/543.88
  6. Step 6: Final answer
    x = 329.40

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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.