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Finding the Fourth Proportional to 392.00, 540.69 and 234.51

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Solution

The fourth proportional to 392.00, 540.69 and 234.51 is: 323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.00 : 540.69 = 234.51 : x
  2. Step 2: Convert to fraction form
    392.00/540.69 = 234.51/x
  3. Step 3: Cross multiply
    392.00x = 540.69 × 234.51
  4. Step 4: Simplify right side
    392.00x = 126,797.21
  5. Step 5: Solve for x
    x = 126,797.21/392.00
  6. Step 6: Final answer
    x = 323.47

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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.