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Finding the Fourth Proportional to 394.09, 543.83 and 217.05

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Solution

The fourth proportional to 394.09, 543.83 and 217.05 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.09 : 543.83 = 217.05 : x
  2. Step 2: Convert to fraction form
    394.09/543.83 = 217.05/x
  3. Step 3: Cross multiply
    394.09x = 543.83 × 217.05
  4. Step 4: Simplify right side
    394.09x = 118,036.12
  5. Step 5: Solve for x
    x = 118,036.12/394.09
  6. Step 6: Final answer
    x = 299.52

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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.