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Finding the Fourth Proportional to 309.44, 463.78 and 206.92

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Solution

The fourth proportional to 309.44, 463.78 and 206.92 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 463.78 = 206.92 : x
  2. Step 2: Convert to fraction form
    309.44/463.78 = 206.92/x
  3. Step 3: Cross multiply
    309.44x = 463.78 × 206.92
  4. Step 4: Simplify right side
    309.44x = 95,965.36
  5. Step 5: Solve for x
    x = 95,965.36/309.44
  6. Step 6: Final answer
    x = 310.13

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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.