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Finding the Fourth Proportional to 513.50, 769.98 and 239.46

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Solution

The fourth proportional to 513.50, 769.98 and 239.46 is: 359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 769.98 = 239.46 : x
  2. Step 2: Convert to fraction form
    513.50/769.98 = 239.46/x
  3. Step 3: Cross multiply
    513.50x = 769.98 × 239.46
  4. Step 4: Simplify right side
    513.50x = 184,379.41
  5. Step 5: Solve for x
    x = 184,379.41/513.50
  6. Step 6: Final answer
    x = 359.06

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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.