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Finding the Fourth Proportional to 394.15, 544.12 and 305.43

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Solution

The fourth proportional to 394.15, 544.12 and 305.43 is: 421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.15 : 544.12 = 305.43 : x
  2. Step 2: Convert to fraction form
    394.15/544.12 = 305.43/x
  3. Step 3: Cross multiply
    394.15x = 544.12 × 305.43
  4. Step 4: Simplify right side
    394.15x = 166,190.57
  5. Step 5: Solve for x
    x = 166,190.57/394.15
  6. Step 6: Final answer
    x = 421.64

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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.