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Finding the Fourth Proportional to 334.26, 461.22 and 209.88

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Solution

The fourth proportional to 334.26, 461.22 and 209.88 is: 289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.26 : 461.22 = 209.88 : x
  2. Step 2: Convert to fraction form
    334.26/461.22 = 209.88/x
  3. Step 3: Cross multiply
    334.26x = 461.22 × 209.88
  4. Step 4: Simplify right side
    334.26x = 96,800.85
  5. Step 5: Solve for x
    x = 96,800.85/334.26
  6. Step 6: Final answer
    x = 289.60

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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.