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Finding the Fourth Proportional to 246.43, 339.19 and 209.89

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Solution

The fourth proportional to 246.43, 339.19 and 209.89 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.43 : 339.19 = 209.89 : x
  2. Step 2: Convert to fraction form
    246.43/339.19 = 209.89/x
  3. Step 3: Cross multiply
    246.43x = 339.19 × 209.89
  4. Step 4: Simplify right side
    246.43x = 71,192.59
  5. Step 5: Solve for x
    x = 71,192.59/246.43
  6. Step 6: Final answer
    x = 288.90

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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.