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Finding the Fourth Proportional to 243.68, 364.75 and 206.78

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Solution

The fourth proportional to 243.68, 364.75 and 206.78 is: 309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 364.75 = 206.78 : x
  2. Step 2: Convert to fraction form
    243.68/364.75 = 206.78/x
  3. Step 3: Cross multiply
    243.68x = 364.75 × 206.78
  4. Step 4: Simplify right side
    243.68x = 75,422.85
  5. Step 5: Solve for x
    x = 75,422.85/243.68
  6. Step 6: Final answer
    x = 309.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.