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Finding the Fourth Proportional to 246.64, 338.44 and 224.64

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Solution

The fourth proportional to 246.64, 338.44 and 224.64 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.64 : 338.44 = 224.64 : x
  2. Step 2: Convert to fraction form
    246.64/338.44 = 224.64/x
  3. Step 3: Cross multiply
    246.64x = 338.44 × 224.64
  4. Step 4: Simplify right side
    246.64x = 76,027.16
  5. Step 5: Solve for x
    x = 76,027.16/246.64
  6. Step 6: Final answer
    x = 308.25

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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.