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Finding the Fourth Proportional to 381.24, 525.42 and 363.96

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Solution

The fourth proportional to 381.24, 525.42 and 363.96 is: 501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 525.42 = 363.96 : x
  2. Step 2: Convert to fraction form
    381.24/525.42 = 363.96/x
  3. Step 3: Cross multiply
    381.24x = 525.42 × 363.96
  4. Step 4: Simplify right side
    381.24x = 191,231.86
  5. Step 5: Solve for x
    x = 191,231.86/381.24
  6. Step 6: Final answer
    x = 501.60

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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.