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Finding the Fourth Proportional to 543.80, 816.24 and 300.44

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Solution

The fourth proportional to 543.80, 816.24 and 300.44 is: 450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.80 : 816.24 = 300.44 : x
  2. Step 2: Convert to fraction form
    543.80/816.24 = 300.44/x
  3. Step 3: Cross multiply
    543.80x = 816.24 × 300.44
  4. Step 4: Simplify right side
    543.80x = 245,231.15
  5. Step 5: Solve for x
    x = 245,231.15/543.80
  6. Step 6: Final answer
    x = 450.96

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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.