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Finding the Fourth Proportional to 381.68, 525.36 and 326.24

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Solution

The fourth proportional to 381.68, 525.36 and 326.24 is: 449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 525.36 = 326.24 : x
  2. Step 2: Convert to fraction form
    381.68/525.36 = 326.24/x
  3. Step 3: Cross multiply
    381.68x = 525.36 × 326.24
  4. Step 4: Simplify right side
    381.68x = 171,393.45
  5. Step 5: Solve for x
    x = 171,393.45/381.68
  6. Step 6: Final answer
    x = 449.05

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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.