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Finding the Fourth Proportional to 392.38, 540.25 and 333.24

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Solution

The fourth proportional to 392.38, 540.25 and 333.24 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.38 : 540.25 = 333.24 : x
  2. Step 2: Convert to fraction form
    392.38/540.25 = 333.24/x
  3. Step 3: Cross multiply
    392.38x = 540.25 × 333.24
  4. Step 4: Simplify right side
    392.38x = 180,032.91
  5. Step 5: Solve for x
    x = 180,032.91/392.38
  6. Step 6: Final answer
    x = 458.82

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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.