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Finding the Fourth Proportional to 277.96, 414.29 and 271.48

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Solution

The fourth proportional to 277.96, 414.29 and 271.48 is: 404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 414.29 = 271.48 : x
  2. Step 2: Convert to fraction form
    277.96/414.29 = 271.48/x
  3. Step 3: Cross multiply
    277.96x = 414.29 × 271.48
  4. Step 4: Simplify right side
    277.96x = 112,471.45
  5. Step 5: Solve for x
    x = 112,471.45/277.96
  6. Step 6: Final answer
    x = 404.63

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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.