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Finding the Fourth Proportional to 516.44, 774.40 and 165.00

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Solution

The fourth proportional to 516.44, 774.40 and 165.00 is: 247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.44 : 774.40 = 165.00 : x
  2. Step 2: Convert to fraction form
    516.44/774.40 = 165.00/x
  3. Step 3: Cross multiply
    516.44x = 774.40 × 165.00
  4. Step 4: Simplify right side
    516.44x = 127,773.10
  5. Step 5: Solve for x
    x = 127,773.10/516.44
  6. Step 6: Final answer
    x = 247.41

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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.