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Finding the Fourth Proportional to 309.56, 463.97 and 194.03

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Solution

The fourth proportional to 309.56, 463.97 and 194.03 is: 290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 463.97 = 194.03 : x
  2. Step 2: Convert to fraction form
    309.56/463.97 = 194.03/x
  3. Step 3: Cross multiply
    309.56x = 463.97 × 194.03
  4. Step 4: Simplify right side
    309.56x = 90,022.26
  5. Step 5: Solve for x
    x = 90,022.26/309.56
  6. Step 6: Final answer
    x = 290.81

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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.