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Finding the Fourth Proportional to 394.07, 543.64 and 305.57

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Solution

The fourth proportional to 394.07, 543.64 and 305.57 is: 421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.07 : 543.64 = 305.57 : x
  2. Step 2: Convert to fraction form
    394.07/543.64 = 305.57/x
  3. Step 3: Cross multiply
    394.07x = 543.64 × 305.57
  4. Step 4: Simplify right side
    394.07x = 166,120.38
  5. Step 5: Solve for x
    x = 166,120.38/394.07
  6. Step 6: Final answer
    x = 421.56

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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.