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Finding the Fourth Proportional to 335.75, 503.37 and 213.86

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Solution

The fourth proportional to 335.75, 503.37 and 213.86 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.75 : 503.37 = 213.86 : x
  2. Step 2: Convert to fraction form
    335.75/503.37 = 213.86/x
  3. Step 3: Cross multiply
    335.75x = 503.37 × 213.86
  4. Step 4: Simplify right side
    335.75x = 107,651.97
  5. Step 5: Solve for x
    x = 107,651.97/335.75
  6. Step 6: Final answer
    x = 320.64

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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.