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Finding the Fourth Proportional to 381.22, 525.82 and 322.75

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Solution

The fourth proportional to 381.22, 525.82 and 322.75 is: 445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.22 : 525.82 = 322.75 : x
  2. Step 2: Convert to fraction form
    381.22/525.82 = 322.75/x
  3. Step 3: Cross multiply
    381.22x = 525.82 × 322.75
  4. Step 4: Simplify right side
    381.22x = 169,708.79
  5. Step 5: Solve for x
    x = 169,708.79/381.22
  6. Step 6: Final answer
    x = 445.17

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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.