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Finding the Fourth Proportional to 392.43, 540.53 and 363.24

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Solution

The fourth proportional to 392.43, 540.53 and 363.24 is: 500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.43 : 540.53 = 363.24 : x
  2. Step 2: Convert to fraction form
    392.43/540.53 = 363.24/x
  3. Step 3: Cross multiply
    392.43x = 540.53 × 363.24
  4. Step 4: Simplify right side
    392.43x = 196,342.12
  5. Step 5: Solve for x
    x = 196,342.12/392.43
  6. Step 6: Final answer
    x = 500.32

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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.