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Finding the Fourth Proportional to 243.55, 335.37 and 208.32

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Solution

The fourth proportional to 243.55, 335.37 and 208.32 is: 286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.55 : 335.37 = 208.32 : x
  2. Step 2: Convert to fraction form
    243.55/335.37 = 208.32/x
  3. Step 3: Cross multiply
    243.55x = 335.37 × 208.32
  4. Step 4: Simplify right side
    243.55x = 69,864.28
  5. Step 5: Solve for x
    x = 69,864.28/243.55
  6. Step 6: Final answer
    x = 286.86

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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.