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Finding the Fourth Proportional to 306.41, 457.25 and 273.56

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Solution

The fourth proportional to 306.41, 457.25 and 273.56 is: 408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 457.25 = 273.56 : x
  2. Step 2: Convert to fraction form
    306.41/457.25 = 273.56/x
  3. Step 3: Cross multiply
    306.41x = 457.25 × 273.56
  4. Step 4: Simplify right side
    306.41x = 125,081.66
  5. Step 5: Solve for x
    x = 125,081.66/306.41
  6. Step 6: Final answer
    x = 408.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.