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Finding the Fourth Proportional to 381.13, 525.57 and 326.05

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Solution

The fourth proportional to 381.13, 525.57 and 326.05 is: 449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.13 : 525.57 = 326.05 : x
  2. Step 2: Convert to fraction form
    381.13/525.57 = 326.05/x
  3. Step 3: Cross multiply
    381.13x = 525.57 × 326.05
  4. Step 4: Simplify right side
    381.13x = 171,363.41
  5. Step 5: Solve for x
    x = 171,363.41/381.13
  6. Step 6: Final answer
    x = 449.62

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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.