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Finding the Fourth Proportional to 381.28, 525.81 and 250.06

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Solution

The fourth proportional to 381.28, 525.81 and 250.06 is: 344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 525.81 = 250.06 : x
  2. Step 2: Convert to fraction form
    381.28/525.81 = 250.06/x
  3. Step 3: Cross multiply
    381.28x = 525.81 × 250.06
  4. Step 4: Simplify right side
    381.28x = 131,484.05
  5. Step 5: Solve for x
    x = 131,484.05/381.28
  6. Step 6: Final answer
    x = 344.85

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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.