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Finding the Fourth Proportional to 246.05, 338.77 and 209.15

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Solution

The fourth proportional to 246.05, 338.77 and 209.15 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.05 : 338.77 = 209.15 : x
  2. Step 2: Convert to fraction form
    246.05/338.77 = 209.15/x
  3. Step 3: Cross multiply
    246.05x = 338.77 × 209.15
  4. Step 4: Simplify right side
    246.05x = 70,853.75
  5. Step 5: Solve for x
    x = 70,853.75/246.05
  6. Step 6: Final answer
    x = 287.96

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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.