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Finding the Fourth Proportional to 246.65, 369.27 and 205.64

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Solution

The fourth proportional to 246.65, 369.27 and 205.64 is: 307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.65 : 369.27 = 205.64 : x
  2. Step 2: Convert to fraction form
    246.65/369.27 = 205.64/x
  3. Step 3: Cross multiply
    246.65x = 369.27 × 205.64
  4. Step 4: Simplify right side
    246.65x = 75,936.22
  5. Step 5: Solve for x
    x = 75,936.22/246.65
  6. Step 6: Final answer
    x = 307.88

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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.