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Finding the Fourth Proportional to 246.36, 338.37 and 217.20

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Solution

The fourth proportional to 246.36, 338.37 and 217.20 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.36 : 338.37 = 217.20 : x
  2. Step 2: Convert to fraction form
    246.36/338.37 = 217.20/x
  3. Step 3: Cross multiply
    246.36x = 338.37 × 217.20
  4. Step 4: Simplify right side
    246.36x = 73,493.96
  5. Step 5: Solve for x
    x = 73,493.96/246.36
  6. Step 6: Final answer
    x = 298.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.