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Finding the Fourth Proportional to 277.05, 418.71 and 272.27

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Solution

The fourth proportional to 277.05, 418.71 and 272.27 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.05 : 418.71 = 272.27 : x
  2. Step 2: Convert to fraction form
    277.05/418.71 = 272.27/x
  3. Step 3: Cross multiply
    277.05x = 418.71 × 272.27
  4. Step 4: Simplify right side
    277.05x = 114,000.08
  5. Step 5: Solve for x
    x = 114,000.08/277.05
  6. Step 6: Final answer
    x = 411.48

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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.