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Finding the Fourth Proportional to 333.87, 460.73 and 209.49

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Solution

The fourth proportional to 333.87, 460.73 and 209.49 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.87 : 460.73 = 209.49 : x
  2. Step 2: Convert to fraction form
    333.87/460.73 = 209.49/x
  3. Step 3: Cross multiply
    333.87x = 460.73 × 209.49
  4. Step 4: Simplify right side
    333.87x = 96,517.28
  5. Step 5: Solve for x
    x = 96,517.28/333.87
  6. Step 6: Final answer
    x = 289.09

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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.