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Finding the Fourth Proportional to 381.99, 525.12 and 328.63

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Solution

The fourth proportional to 381.99, 525.12 and 328.63 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.99 : 525.12 = 328.63 : x
  2. Step 2: Convert to fraction form
    381.99/525.12 = 328.63/x
  3. Step 3: Cross multiply
    381.99x = 525.12 × 328.63
  4. Step 4: Simplify right side
    381.99x = 172,568.46
  5. Step 5: Solve for x
    x = 172,568.46/381.99
  6. Step 6: Final answer
    x = 451.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.