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Finding the Fourth Proportional to 344.82, 520.35 and 342.12

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Solution

The fourth proportional to 344.82, 520.35 and 342.12 is: 516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.82 : 520.35 = 342.12 : x
  2. Step 2: Convert to fraction form
    344.82/520.35 = 342.12/x
  3. Step 3: Cross multiply
    344.82x = 520.35 × 342.12
  4. Step 4: Simplify right side
    344.82x = 178,022.14
  5. Step 5: Solve for x
    x = 178,022.14/344.82
  6. Step 6: Final answer
    x = 516.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.