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Finding the Fourth Proportional to 293.78, 405.26 and 213.93

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Solution

The fourth proportional to 293.78, 405.26 and 213.93 is: 295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.78 : 405.26 = 213.93 : x
  2. Step 2: Convert to fraction form
    293.78/405.26 = 213.93/x
  3. Step 3: Cross multiply
    293.78x = 405.26 × 213.93
  4. Step 4: Simplify right side
    293.78x = 86,696.20
  5. Step 5: Solve for x
    x = 86,696.20/293.78
  6. Step 6: Final answer
    x = 295.11

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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.