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Finding the Fourth Proportional to 277.43, 412.56 and 268.79

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Solution

The fourth proportional to 277.43, 412.56 and 268.79 is: 399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.43 : 412.56 = 268.79 : x
  2. Step 2: Convert to fraction form
    277.43/412.56 = 268.79/x
  3. Step 3: Cross multiply
    277.43x = 412.56 × 268.79
  4. Step 4: Simplify right side
    277.43x = 110,889.94
  5. Step 5: Solve for x
    x = 110,889.94/277.43
  6. Step 6: Final answer
    x = 399.71

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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.