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Finding the Fourth Proportional to 243.39, 363.57 and 206.94

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Solution

The fourth proportional to 243.39, 363.57 and 206.94 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.39 : 363.57 = 206.94 : x
  2. Step 2: Convert to fraction form
    243.39/363.57 = 206.94/x
  3. Step 3: Cross multiply
    243.39x = 363.57 × 206.94
  4. Step 4: Simplify right side
    243.39x = 75,237.18
  5. Step 5: Solve for x
    x = 75,237.18/243.39
  6. Step 6: Final answer
    x = 309.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.