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Finding the Fourth Proportional to 394.19, 543.87 and 276.03

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Solution

The fourth proportional to 394.19, 543.87 and 276.03 is: 380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.19 : 543.87 = 276.03 : x
  2. Step 2: Convert to fraction form
    394.19/543.87 = 276.03/x
  3. Step 3: Cross multiply
    394.19x = 543.87 × 276.03
  4. Step 4: Simplify right side
    394.19x = 150,124.44
  5. Step 5: Solve for x
    x = 150,124.44/394.19
  6. Step 6: Final answer
    x = 380.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.