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Finding the Fourth Proportional to 334.05, 461.04 and 209.79

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Solution

The fourth proportional to 334.05, 461.04 and 209.79 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.05 : 461.04 = 209.79 : x
  2. Step 2: Convert to fraction form
    334.05/461.04 = 209.79/x
  3. Step 3: Cross multiply
    334.05x = 461.04 × 209.79
  4. Step 4: Simplify right side
    334.05x = 96,721.58
  5. Step 5: Solve for x
    x = 96,721.58/334.05
  6. Step 6: Final answer
    x = 289.54

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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.