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Finding the Fourth Proportional to 298.56, 450.11 and 277.68

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Solution

The fourth proportional to 298.56, 450.11 and 277.68 is: 418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.56 : 450.11 = 277.68 : x
  2. Step 2: Convert to fraction form
    298.56/450.11 = 277.68/x
  3. Step 3: Cross multiply
    298.56x = 450.11 × 277.68
  4. Step 4: Simplify right side
    298.56x = 124,986.54
  5. Step 5: Solve for x
    x = 124,986.54/298.56
  6. Step 6: Final answer
    x = 418.63

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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.