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Finding the Fourth Proportional to 394.05, 543.81 and 305.63

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Solution

The fourth proportional to 394.05, 543.81 and 305.63 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.05 : 543.81 = 305.63 : x
  2. Step 2: Convert to fraction form
    394.05/543.81 = 305.63/x
  3. Step 3: Cross multiply
    394.05x = 543.81 × 305.63
  4. Step 4: Simplify right side
    394.05x = 166,204.65
  5. Step 5: Solve for x
    x = 166,204.65/394.05
  6. Step 6: Final answer
    x = 421.79

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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.