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Finding the Fourth Proportional to 246.65, 371.64 and 204.27

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Solution

The fourth proportional to 246.65, 371.64 and 204.27 is: 307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.65 : 371.64 = 204.27 : x
  2. Step 2: Convert to fraction form
    246.65/371.64 = 204.27/x
  3. Step 3: Cross multiply
    246.65x = 371.64 × 204.27
  4. Step 4: Simplify right side
    246.65x = 75,914.14
  5. Step 5: Solve for x
    x = 75,914.14/246.65
  6. Step 6: Final answer
    x = 307.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.