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Finding the Fourth Proportional to 334.09, 461.27 and 209.80

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Solution

The fourth proportional to 334.09, 461.27 and 209.80 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.09 : 461.27 = 209.80 : x
  2. Step 2: Convert to fraction form
    334.09/461.27 = 209.80/x
  3. Step 3: Cross multiply
    334.09x = 461.27 × 209.80
  4. Step 4: Simplify right side
    334.09x = 96,774.45
  5. Step 5: Solve for x
    x = 96,774.45/334.09
  6. Step 6: Final answer
    x = 289.67

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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.