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Finding the Fourth Proportional to 277.88, 414.54 and 245.81

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Solution

The fourth proportional to 277.88, 414.54 and 245.81 is: 366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.88 : 414.54 = 245.81 : x
  2. Step 2: Convert to fraction form
    277.88/414.54 = 245.81/x
  3. Step 3: Cross multiply
    277.88x = 414.54 × 245.81
  4. Step 4: Simplify right side
    277.88x = 101,896.85
  5. Step 5: Solve for x
    x = 101,896.85/277.88
  6. Step 6: Final answer
    x = 366.69

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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.