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Finding the Fourth Proportional to 273.69, 411.14 and 165.56

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Solution

The fourth proportional to 273.69, 411.14 and 165.56 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.69 : 411.14 = 165.56 : x
  2. Step 2: Convert to fraction form
    273.69/411.14 = 165.56/x
  3. Step 3: Cross multiply
    273.69x = 411.14 × 165.56
  4. Step 4: Simplify right side
    273.69x = 68,065.45
  5. Step 5: Solve for x
    x = 68,065.45/273.69
  6. Step 6: Final answer
    x = 248.70

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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.