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Finding the Fourth Proportional to 246.20, 339.54 and 197.06

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Solution

The fourth proportional to 246.20, 339.54 and 197.06 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.20 : 339.54 = 197.06 : x
  2. Step 2: Convert to fraction form
    246.20/339.54 = 197.06/x
  3. Step 3: Cross multiply
    246.20x = 339.54 × 197.06
  4. Step 4: Simplify right side
    246.20x = 66,909.75
  5. Step 5: Solve for x
    x = 66,909.75/246.20
  6. Step 6: Final answer
    x = 271.77

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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.