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Finding the Fourth Proportional to 335.12, 503.22 and 207.68

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Solution

The fourth proportional to 335.12, 503.22 and 207.68 is: 311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.12 : 503.22 = 207.68 : x
  2. Step 2: Convert to fraction form
    335.12/503.22 = 207.68/x
  3. Step 3: Cross multiply
    335.12x = 503.22 × 207.68
  4. Step 4: Simplify right side
    335.12x = 104,508.73
  5. Step 5: Solve for x
    x = 104,508.73/335.12
  6. Step 6: Final answer
    x = 311.85

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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.