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Finding the Fourth Proportional to 342.46, 513.70 and 234.20

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Solution

The fourth proportional to 342.46, 513.70 and 234.20 is: 351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.46 : 513.70 = 234.20 : x
  2. Step 2: Convert to fraction form
    342.46/513.70 = 234.20/x
  3. Step 3: Cross multiply
    342.46x = 513.70 × 234.20
  4. Step 4: Simplify right side
    342.46x = 120,308.54
  5. Step 5: Solve for x
    x = 120,308.54/342.46
  6. Step 6: Final answer
    x = 351.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.