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Finding the Fourth Proportional to 513.43, 770.00 and 201.02

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Solution

The fourth proportional to 513.43, 770.00 and 201.02 is: 301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.43 : 770.00 = 201.02 : x
  2. Step 2: Convert to fraction form
    513.43/770.00 = 201.02/x
  3. Step 3: Cross multiply
    513.43x = 770.00 × 201.02
  4. Step 4: Simplify right side
    513.43x = 154,786.32
  5. Step 5: Solve for x
    x = 154,786.32/513.43
  6. Step 6: Final answer
    x = 301.48

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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.