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Finding the Fourth Proportional to 392.69, 541.78 and 252.88

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Solution

The fourth proportional to 392.69, 541.78 and 252.88 is: 348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.69 : 541.78 = 252.88 : x
  2. Step 2: Convert to fraction form
    392.69/541.78 = 252.88/x
  3. Step 3: Cross multiply
    392.69x = 541.78 × 252.88
  4. Step 4: Simplify right side
    392.69x = 137,005.33
  5. Step 5: Solve for x
    x = 137,005.33/392.69
  6. Step 6: Final answer
    x = 348.89

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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.