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Finding the Fourth Proportional to 335.21, 501.96 and 211.49

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Solution

The fourth proportional to 335.21, 501.96 and 211.49 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.21 : 501.96 = 211.49 : x
  2. Step 2: Convert to fraction form
    335.21/501.96 = 211.49/x
  3. Step 3: Cross multiply
    335.21x = 501.96 × 211.49
  4. Step 4: Simplify right side
    335.21x = 106,157.01
  5. Step 5: Solve for x
    x = 106,157.01/335.21
  6. Step 6: Final answer
    x = 316.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.