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Finding the Fourth Proportional to 513.20, 769.35 and 183.98

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Solution

The fourth proportional to 513.20, 769.35 and 183.98 is: 275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 769.35 = 183.98 : x
  2. Step 2: Convert to fraction form
    513.20/769.35 = 183.98/x
  3. Step 3: Cross multiply
    513.20x = 769.35 × 183.98
  4. Step 4: Simplify right side
    513.20x = 141,545.01
  5. Step 5: Solve for x
    x = 141,545.01/513.20
  6. Step 6: Final answer
    x = 275.81

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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.