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Finding the Fourth Proportional to 394.14, 543.12 and 334.94

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Solution

The fourth proportional to 394.14, 543.12 and 334.94 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.14 : 543.12 = 334.94 : x
  2. Step 2: Convert to fraction form
    394.14/543.12 = 334.94/x
  3. Step 3: Cross multiply
    394.14x = 543.12 × 334.94
  4. Step 4: Simplify right side
    394.14x = 181,912.61
  5. Step 5: Solve for x
    x = 181,912.61/394.14
  6. Step 6: Final answer
    x = 461.54

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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.