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Finding the Fourth Proportional to 246.57, 340.37 and 159.36

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Solution

The fourth proportional to 246.57, 340.37 and 159.36 is: 219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.57 : 340.37 = 159.36 : x
  2. Step 2: Convert to fraction form
    246.57/340.37 = 159.36/x
  3. Step 3: Cross multiply
    246.57x = 340.37 × 159.36
  4. Step 4: Simplify right side
    246.57x = 54,241.36
  5. Step 5: Solve for x
    x = 54,241.36/246.57
  6. Step 6: Final answer
    x = 219.98

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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.