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Finding the Fourth Proportional to 513.12, 769.64 and 142.92

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Solution

The fourth proportional to 513.12, 769.64 and 142.92 is: 214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 769.64 = 142.92 : x
  2. Step 2: Convert to fraction form
    513.12/769.64 = 142.92/x
  3. Step 3: Cross multiply
    513.12x = 769.64 × 142.92
  4. Step 4: Simplify right side
    513.12x = 109,996.23
  5. Step 5: Solve for x
    x = 109,996.23/513.12
  6. Step 6: Final answer
    x = 214.37

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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.