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Finding the Fourth Proportional to 335.20, 503.11 and 142.96

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Solution

The fourth proportional to 335.20, 503.11 and 142.96 is: 214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.20 : 503.11 = 142.96 : x
  2. Step 2: Convert to fraction form
    335.20/503.11 = 142.96/x
  3. Step 3: Cross multiply
    335.20x = 503.11 × 142.96
  4. Step 4: Simplify right side
    335.20x = 71,924.61
  5. Step 5: Solve for x
    x = 71,924.61/335.20
  6. Step 6: Final answer
    x = 214.57

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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.