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Finding the Fourth Proportional to 277.45, 414.59 and 200.05

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Solution

The fourth proportional to 277.45, 414.59 and 200.05 is: 298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.45 : 414.59 = 200.05 : x
  2. Step 2: Convert to fraction form
    277.45/414.59 = 200.05/x
  3. Step 3: Cross multiply
    277.45x = 414.59 × 200.05
  4. Step 4: Simplify right side
    277.45x = 82,938.73
  5. Step 5: Solve for x
    x = 82,938.73/277.45
  6. Step 6: Final answer
    x = 298.93

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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.