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Finding the Fourth Proportional to 514.50, 771.68 and 189.81

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Solution

The fourth proportional to 514.50, 771.68 and 189.81 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.50 : 771.68 = 189.81 : x
  2. Step 2: Convert to fraction form
    514.50/771.68 = 189.81/x
  3. Step 3: Cross multiply
    514.50x = 771.68 × 189.81
  4. Step 4: Simplify right side
    514.50x = 146,471.63
  5. Step 5: Solve for x
    x = 146,471.63/514.50
  6. Step 6: Final answer
    x = 284.69

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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.