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Finding the Fourth Proportional to 335.11, 462.49 and 204.09

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Solution

The fourth proportional to 335.11, 462.49 and 204.09 is: 281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.11 : 462.49 = 204.09 : x
  2. Step 2: Convert to fraction form
    335.11/462.49 = 204.09/x
  3. Step 3: Cross multiply
    335.11x = 462.49 × 204.09
  4. Step 4: Simplify right side
    335.11x = 94,389.58
  5. Step 5: Solve for x
    x = 94,389.58/335.11
  6. Step 6: Final answer
    x = 281.67

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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.