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Finding the Fourth Proportional to 243.43, 335.20 and 208.19

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Solution

The fourth proportional to 243.43, 335.20 and 208.19 is: 286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.43 : 335.20 = 208.19 : x
  2. Step 2: Convert to fraction form
    243.43/335.20 = 208.19/x
  3. Step 3: Cross multiply
    243.43x = 335.20 × 208.19
  4. Step 4: Simplify right side
    243.43x = 69,784.25
  5. Step 5: Solve for x
    x = 69,784.25/243.43
  6. Step 6: Final answer
    x = 286.68

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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.