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Finding the Fourth Proportional to 293.43, 405.11 and 204.87

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Solution

The fourth proportional to 293.43, 405.11 and 204.87 is: 282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.43 : 405.11 = 204.87 : x
  2. Step 2: Convert to fraction form
    293.43/405.11 = 204.87/x
  3. Step 3: Cross multiply
    293.43x = 405.11 × 204.87
  4. Step 4: Simplify right side
    293.43x = 82,993.86
  5. Step 5: Solve for x
    x = 82,993.86/293.43
  6. Step 6: Final answer
    x = 282.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.