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Finding the Fourth Proportional to 277.09, 381.72 and 189.61

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Solution

The fourth proportional to 277.09, 381.72 and 189.61 is: 261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.09 : 381.72 = 189.61 : x
  2. Step 2: Convert to fraction form
    277.09/381.72 = 189.61/x
  3. Step 3: Cross multiply
    277.09x = 381.72 × 189.61
  4. Step 4: Simplify right side
    277.09x = 72,377.93
  5. Step 5: Solve for x
    x = 72,377.93/277.09
  6. Step 6: Final answer
    x = 261.21

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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.