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Finding the Fourth Proportional to 293.70, 405.07 and 205.15

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Solution

The fourth proportional to 293.70, 405.07 and 205.15 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.70 : 405.07 = 205.15 : x
  2. Step 2: Convert to fraction form
    293.70/405.07 = 205.15/x
  3. Step 3: Cross multiply
    293.70x = 405.07 × 205.15
  4. Step 4: Simplify right side
    293.70x = 83,099.35
  5. Step 5: Solve for x
    x = 83,099.35/293.70
  6. Step 6: Final answer
    x = 282.94

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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.