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Finding the Fourth Proportional to 243.67, 335.93 and 208.55

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Solution

The fourth proportional to 243.67, 335.93 and 208.55 is: 287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.67 : 335.93 = 208.55 : x
  2. Step 2: Convert to fraction form
    243.67/335.93 = 208.55/x
  3. Step 3: Cross multiply
    243.67x = 335.93 × 208.55
  4. Step 4: Simplify right side
    243.67x = 70,058.20
  5. Step 5: Solve for x
    x = 70,058.20/243.67
  6. Step 6: Final answer
    x = 287.51

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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.