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Finding the Fourth Proportional to 301.21, 415.08 and 213.73

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Solution

The fourth proportional to 301.21, 415.08 and 213.73 is: 294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.21 : 415.08 = 213.73 : x
  2. Step 2: Convert to fraction form
    301.21/415.08 = 213.73/x
  3. Step 3: Cross multiply
    301.21x = 415.08 × 213.73
  4. Step 4: Simplify right side
    301.21x = 88,715.05
  5. Step 5: Solve for x
    x = 88,715.05/301.21
  6. Step 6: Final answer
    x = 294.53

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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.