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Finding the Fourth Proportional to 514.46, 771.72 and 189.80

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Solution

The fourth proportional to 514.46, 771.72 and 189.80 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.46 : 771.72 = 189.80 : x
  2. Step 2: Convert to fraction form
    514.46/771.72 = 189.80/x
  3. Step 3: Cross multiply
    514.46x = 771.72 × 189.80
  4. Step 4: Simplify right side
    514.46x = 146,472.46
  5. Step 5: Solve for x
    x = 146,472.46/514.46
  6. Step 6: Final answer
    x = 284.71

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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.