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Finding the Fourth Proportional to 513.12, 769.62 and 142.95

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Solution

The fourth proportional to 513.12, 769.62 and 142.95 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 769.62 = 142.95 : x
  2. Step 2: Convert to fraction form
    513.12/769.62 = 142.95/x
  3. Step 3: Cross multiply
    513.12x = 769.62 × 142.95
  4. Step 4: Simplify right side
    513.12x = 110,019.80
  5. Step 5: Solve for x
    x = 110,019.80/513.12
  6. Step 6: Final answer
    x = 214.41

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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.