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Finding the Fourth Proportional to 246.82, 340.64 and 141.92

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Solution

The fourth proportional to 246.82, 340.64 and 141.92 is: 195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.82 : 340.64 = 141.92 : x
  2. Step 2: Convert to fraction form
    246.82/340.64 = 141.92/x
  3. Step 3: Cross multiply
    246.82x = 340.64 × 141.92
  4. Step 4: Simplify right side
    246.82x = 48,343.63
  5. Step 5: Solve for x
    x = 48,343.63/246.82
  6. Step 6: Final answer
    x = 195.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.