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Finding the Fourth Proportional to 378.11, 520.60 and 343.51

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Solution

The fourth proportional to 378.11, 520.60 and 343.51 is: 472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.11 : 520.60 = 343.51 : x
  2. Step 2: Convert to fraction form
    378.11/520.60 = 343.51/x
  3. Step 3: Cross multiply
    378.11x = 520.60 × 343.51
  4. Step 4: Simplify right side
    378.11x = 178,829.15
  5. Step 5: Solve for x
    x = 178,829.15/378.11
  6. Step 6: Final answer
    x = 472.96

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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.