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Finding the Fourth Proportional to 246.51, 371.22 and 205.76

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Solution

The fourth proportional to 246.51, 371.22 and 205.76 is: 309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.51 : 371.22 = 205.76 : x
  2. Step 2: Convert to fraction form
    246.51/371.22 = 205.76/x
  3. Step 3: Cross multiply
    246.51x = 371.22 × 205.76
  4. Step 4: Simplify right side
    246.51x = 76,382.23
  5. Step 5: Solve for x
    x = 76,382.23/246.51
  6. Step 6: Final answer
    x = 309.85

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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.