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Finding the Fourth Proportional to 246.25, 339.86 and 142.75

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Solution

The fourth proportional to 246.25, 339.86 and 142.75 is: 197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.25 : 339.86 = 142.75 : x
  2. Step 2: Convert to fraction form
    246.25/339.86 = 142.75/x
  3. Step 3: Cross multiply
    246.25x = 339.86 × 142.75
  4. Step 4: Simplify right side
    246.25x = 48,514.30
  5. Step 5: Solve for x
    x = 48,514.30/246.25
  6. Step 6: Final answer
    x = 197.01

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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.