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Finding the Fourth Proportional to 513.45, 770.18 and 184.37

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Solution

The fourth proportional to 513.45, 770.18 and 184.37 is: 276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.45 : 770.18 = 184.37 : x
  2. Step 2: Convert to fraction form
    513.45/770.18 = 184.37/x
  3. Step 3: Cross multiply
    513.45x = 770.18 × 184.37
  4. Step 4: Simplify right side
    513.45x = 141,993.31
  5. Step 5: Solve for x
    x = 141,993.31/513.45
  6. Step 6: Final answer
    x = 276.55

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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.