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Finding the Fourth Proportional to 381.77, 527.09 and 251

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Solution

The fourth proportional to 381.77, 527.09 and 251 is: 346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.77 : 527.09 = 251 : x
  2. Step 2: Convert to fraction form
    381.77/527.09 = 251/x
  3. Step 3: Cross multiply
    381.77x = 527.09 × 251
  4. Step 4: Simplify right side
    381.77x = 132,299.59
  5. Step 5: Solve for x
    x = 132,299.59/381.77
  6. Step 6: Final answer
    x = 346.54

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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.