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Finding the Fourth Proportional to 246.82, 340.95 and 217.27

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Solution

The fourth proportional to 246.82, 340.95 and 217.27 is: 300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.82 : 340.95 = 217.27 : x
  2. Step 2: Convert to fraction form
    246.82/340.95 = 217.27/x
  3. Step 3: Cross multiply
    246.82x = 340.95 × 217.27
  4. Step 4: Simplify right side
    246.82x = 74,078.21
  5. Step 5: Solve for x
    x = 74,078.21/246.82
  6. Step 6: Final answer
    x = 300.13

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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.