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Finding the Fourth Proportional to 277.48, 381.74 and 269.79

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Solution

The fourth proportional to 277.48, 381.74 and 269.79 is: 371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 381.74 = 269.79 : x
  2. Step 2: Convert to fraction form
    277.48/381.74 = 269.79/x
  3. Step 3: Cross multiply
    277.48x = 381.74 × 269.79
  4. Step 4: Simplify right side
    277.48x = 102,989.63
  5. Step 5: Solve for x
    x = 102,989.63/277.48
  6. Step 6: Final answer
    x = 371.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.