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Finding the Fourth Proportional to 391.98, 541.71 and 314.22

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Solution

The fourth proportional to 391.98, 541.71 and 314.22 is: 434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.98 : 541.71 = 314.22 : x
  2. Step 2: Convert to fraction form
    391.98/541.71 = 314.22/x
  3. Step 3: Cross multiply
    391.98x = 541.71 × 314.22
  4. Step 4: Simplify right side
    391.98x = 170,216.12
  5. Step 5: Solve for x
    x = 170,216.12/391.98
  6. Step 6: Final answer
    x = 434.25

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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.