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Finding the Fourth Proportional to 333.78, 461 and 223.07

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Solution

The fourth proportional to 333.78, 461 and 223.07 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.78 : 461 = 223.07 : x
  2. Step 2: Convert to fraction form
    333.78/461 = 223.07/x
  3. Step 3: Cross multiply
    333.78x = 461 × 223.07
  4. Step 4: Simplify right side
    333.78x = 102,835.27
  5. Step 5: Solve for x
    x = 102,835.27/333.78
  6. Step 6: Final answer
    x = 308.09

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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.