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Finding the Fourth Proportional to 246.82, 371.67 and 178.82

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Solution

The fourth proportional to 246.82, 371.67 and 178.82 is: 269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.82 : 371.67 = 178.82 : x
  2. Step 2: Convert to fraction form
    246.82/371.67 = 178.82/x
  3. Step 3: Cross multiply
    246.82x = 371.67 × 178.82
  4. Step 4: Simplify right side
    246.82x = 66,462.03
  5. Step 5: Solve for x
    x = 66,462.03/246.82
  6. Step 6: Final answer
    x = 269.27

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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.