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Finding the Fourth Proportional to 277.88, 414.61 and 246.92

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Solution

The fourth proportional to 277.88, 414.61 and 246.92 is: 368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.88 : 414.61 = 246.92 : x
  2. Step 2: Convert to fraction form
    277.88/414.61 = 246.92/x
  3. Step 3: Cross multiply
    277.88x = 414.61 × 246.92
  4. Step 4: Simplify right side
    277.88x = 102,375.50
  5. Step 5: Solve for x
    x = 102,375.50/277.88
  6. Step 6: Final answer
    x = 368.42

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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.