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Finding the Fourth Proportional to 301.38, 454.05 and 273.61

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Solution

The fourth proportional to 301.38, 454.05 and 273.61 is: 412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.38 : 454.05 = 273.61 : x
  2. Step 2: Convert to fraction form
    301.38/454.05 = 273.61/x
  3. Step 3: Cross multiply
    301.38x = 454.05 × 273.61
  4. Step 4: Simplify right side
    301.38x = 124,232.62
  5. Step 5: Solve for x
    x = 124,232.62/301.38
  6. Step 6: Final answer
    x = 412.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.