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Finding the Fourth Proportional to 246.70, 371.72 and 204.31

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Solution

The fourth proportional to 246.70, 371.72 and 204.31 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.70 : 371.72 = 204.31 : x
  2. Step 2: Convert to fraction form
    246.70/371.72 = 204.31/x
  3. Step 3: Cross multiply
    246.70x = 371.72 × 204.31
  4. Step 4: Simplify right side
    246.70x = 75,944.25
  5. Step 5: Solve for x
    x = 75,944.25/246.70
  6. Step 6: Final answer
    x = 307.85

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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.