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Finding the Fourth Proportional to 342.98, 513.39 and 234.98

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Solution

The fourth proportional to 342.98, 513.39 and 234.98 is: 351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 513.39 = 234.98 : x
  2. Step 2: Convert to fraction form
    342.98/513.39 = 234.98/x
  3. Step 3: Cross multiply
    342.98x = 513.39 × 234.98
  4. Step 4: Simplify right side
    342.98x = 120,636.38
  5. Step 5: Solve for x
    x = 120,636.38/342.98
  6. Step 6: Final answer
    x = 351.73

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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.