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Finding the Fourth Proportional to 301, 415.24 and 213.72

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Solution

The fourth proportional to 301, 415.24 and 213.72 is: 294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 415.24 = 213.72 : x
  2. Step 2: Convert to fraction form
    301/415.24 = 213.72/x
  3. Step 3: Cross multiply
    301x = 415.24 × 213.72
  4. Step 4: Simplify right side
    301x = 88,745.09
  5. Step 5: Solve for x
    x = 88,745.09/301
  6. Step 6: Final answer
    x = 294.83

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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.