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Finding the Fourth Proportional to 306.72, 457.26 and 277.56

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Solution

The fourth proportional to 306.72, 457.26 and 277.56 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 457.26 = 277.56 : x
  2. Step 2: Convert to fraction form
    306.72/457.26 = 277.56/x
  3. Step 3: Cross multiply
    306.72x = 457.26 × 277.56
  4. Step 4: Simplify right side
    306.72x = 126,917.09
  5. Step 5: Solve for x
    x = 126,917.09/306.72
  6. Step 6: Final answer
    x = 413.79

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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.