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Finding the Fourth Proportional to 333.89, 461.09 and 256.13

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Solution

The fourth proportional to 333.89, 461.09 and 256.13 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.89 : 461.09 = 256.13 : x
  2. Step 2: Convert to fraction form
    333.89/461.09 = 256.13/x
  3. Step 3: Cross multiply
    333.89x = 461.09 × 256.13
  4. Step 4: Simplify right side
    333.89x = 118,098.98
  5. Step 5: Solve for x
    x = 118,098.98/333.89
  6. Step 6: Final answer
    x = 353.71

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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.