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Finding the Fourth Proportional to 391.91, 541.08 and 252.09

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Solution

The fourth proportional to 391.91, 541.08 and 252.09 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.91 : 541.08 = 252.09 : x
  2. Step 2: Convert to fraction form
    391.91/541.08 = 252.09/x
  3. Step 3: Cross multiply
    391.91x = 541.08 × 252.09
  4. Step 4: Simplify right side
    391.91x = 136,400.86
  5. Step 5: Solve for x
    x = 136,400.86/391.91
  6. Step 6: Final answer
    x = 348.05

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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.