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Finding the Fourth Proportional to 513.81, 771.02 and 221.31

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Solution

The fourth proportional to 513.81, 771.02 and 221.31 is: 332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.81 : 771.02 = 221.31 : x
  2. Step 2: Convert to fraction form
    513.81/771.02 = 221.31/x
  3. Step 3: Cross multiply
    513.81x = 771.02 × 221.31
  4. Step 4: Simplify right side
    513.81x = 170,634.44
  5. Step 5: Solve for x
    x = 170,634.44/513.81
  6. Step 6: Final answer
    x = 332.10

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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.