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Finding the Fourth Proportional to 246.43, 369.74 and 109.40

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Solution

The fourth proportional to 246.43, 369.74 and 109.40 is: 164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.43 : 369.74 = 109.40 : x
  2. Step 2: Convert to fraction form
    246.43/369.74 = 109.40/x
  3. Step 3: Cross multiply
    246.43x = 369.74 × 109.40
  4. Step 4: Simplify right side
    246.43x = 40,449.56
  5. Step 5: Solve for x
    x = 40,449.56/246.43
  6. Step 6: Final answer
    x = 164.14

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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.