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Finding the Fourth Proportional to 392.13, 540.84 and 234.79

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Solution

The fourth proportional to 392.13, 540.84 and 234.79 is: 323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.13 : 540.84 = 234.79 : x
  2. Step 2: Convert to fraction form
    392.13/540.84 = 234.79/x
  3. Step 3: Cross multiply
    392.13x = 540.84 × 234.79
  4. Step 4: Simplify right side
    392.13x = 126,983.82
  5. Step 5: Solve for x
    x = 126,983.82/392.13
  6. Step 6: Final answer
    x = 323.83

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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.