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Finding the Fourth Proportional to 513.60, 769.61 and 239.61

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Solution

The fourth proportional to 513.60, 769.61 and 239.61 is: 359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 769.61 = 239.61 : x
  2. Step 2: Convert to fraction form
    513.60/769.61 = 239.61/x
  3. Step 3: Cross multiply
    513.60x = 769.61 × 239.61
  4. Step 4: Simplify right side
    513.60x = 184,409.74
  5. Step 5: Solve for x
    x = 184,409.74/513.60
  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.