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Finding the Fourth Proportional to 381.20, 525.97 and 322.43

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Solution

The fourth proportional to 381.20, 525.97 and 322.43 is: 444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 525.97 = 322.43 : x
  2. Step 2: Convert to fraction form
    381.20/525.97 = 322.43/x
  3. Step 3: Cross multiply
    381.20x = 525.97 × 322.43
  4. Step 4: Simplify right side
    381.20x = 169,588.51
  5. Step 5: Solve for x
    x = 169,588.51/381.20
  6. Step 6: Final answer
    x = 444.88

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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.