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Finding the Fourth Proportional to 436.97, 655.67 and 205.85

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Solution

The fourth proportional to 436.97, 655.67 and 205.85 is: 308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.97 : 655.67 = 205.85 : x
  2. Step 2: Convert to fraction form
    436.97/655.67 = 205.85/x
  3. Step 3: Cross multiply
    436.97x = 655.67 × 205.85
  4. Step 4: Simplify right side
    436.97x = 134,968.64
  5. Step 5: Solve for x
    x = 134,968.64/436.97
  6. Step 6: Final answer
    x = 308.87

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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.