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Finding the Fourth Proportional to 246.94, 370.43 and 82.42

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Solution

The fourth proportional to 246.94, 370.43 and 82.42 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.94 : 370.43 = 82.42 : x
  2. Step 2: Convert to fraction form
    246.94/370.43 = 82.42/x
  3. Step 3: Cross multiply
    246.94x = 370.43 × 82.42
  4. Step 4: Simplify right side
    246.94x = 30,530.84
  5. Step 5: Solve for x
    x = 30,530.84/246.94
  6. Step 6: Final answer
    x = 123.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.