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Finding the Fourth Proportional to 246.20, 370.97 and 203.81

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Solution

The fourth proportional to 246.20, 370.97 and 203.81 is: 307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.20 : 370.97 = 203.81 : x
  2. Step 2: Convert to fraction form
    246.20/370.97 = 203.81/x
  3. Step 3: Cross multiply
    246.20x = 370.97 × 203.81
  4. Step 4: Simplify right side
    246.20x = 75,604.52
  5. Step 5: Solve for x
    x = 75,604.52/246.20
  6. Step 6: Final answer
    x = 307.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.