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Finding the Fourth Proportional to 246.87, 340.56 and 205.27

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Solution

The fourth proportional to 246.87, 340.56 and 205.27 is: 283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.87 : 340.56 = 205.27 : x
  2. Step 2: Convert to fraction form
    246.87/340.56 = 205.27/x
  3. Step 3: Cross multiply
    246.87x = 340.56 × 205.27
  4. Step 4: Simplify right side
    246.87x = 69,905.90
  5. Step 5: Solve for x
    x = 69,905.90/246.87
  6. Step 6: Final answer
    x = 283.17

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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.