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Finding the Fourth Proportional to 293.93, 405.75 and 209.96

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Solution

The fourth proportional to 293.93, 405.75 and 209.96 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.93 : 405.75 = 209.96 : x
  2. Step 2: Convert to fraction form
    293.93/405.75 = 209.96/x
  3. Step 3: Cross multiply
    293.93x = 405.75 × 209.96
  4. Step 4: Simplify right side
    293.93x = 85,189.24
  5. Step 5: Solve for x
    x = 85,189.24/293.93
  6. Step 6: Final answer
    x = 289.83

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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.