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Finding the Fourth Proportional to 514.10, 771.31 and 225.78

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Solution

The fourth proportional to 514.10, 771.31 and 225.78 is: 338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.10 : 771.31 = 225.78 : x
  2. Step 2: Convert to fraction form
    514.10/771.31 = 225.78/x
  3. Step 3: Cross multiply
    514.10x = 771.31 × 225.78
  4. Step 4: Simplify right side
    514.10x = 174,146.37
  5. Step 5: Solve for x
    x = 174,146.37/514.10
  6. Step 6: Final answer
    x = 338.74

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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.