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Finding the Fourth Proportional to 301.67, 415.73 and 271.85

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Solution

The fourth proportional to 301.67, 415.73 and 271.85 is: 374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.67 : 415.73 = 271.85 : x
  2. Step 2: Convert to fraction form
    301.67/415.73 = 271.85/x
  3. Step 3: Cross multiply
    301.67x = 415.73 × 271.85
  4. Step 4: Simplify right side
    301.67x = 113,012.76
  5. Step 5: Solve for x
    x = 113,012.76/301.67
  6. Step 6: Final answer
    x = 374.63

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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.