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Finding the Fourth Proportional to 391.40, 541 and 343.42

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Solution

The fourth proportional to 391.40, 541 and 343.42 is: 474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.40 : 541 = 343.42 : x
  2. Step 2: Convert to fraction form
    391.40/541 = 343.42/x
  3. Step 3: Cross multiply
    391.40x = 541 × 343.42
  4. Step 4: Simplify right side
    391.40x = 185,790.22
  5. Step 5: Solve for x
    x = 185,790.22/391.40
  6. Step 6: Final answer
    x = 474.68

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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.