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Finding the Fourth Proportional to 273.39, 409.76 and 170.70

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Solution

The fourth proportional to 273.39, 409.76 and 170.70 is: 255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.39 : 409.76 = 170.70 : x
  2. Step 2: Convert to fraction form
    273.39/409.76 = 170.70/x
  3. Step 3: Cross multiply
    273.39x = 409.76 × 170.70
  4. Step 4: Simplify right side
    273.39x = 69,943.98
  5. Step 5: Solve for x
    x = 69,943.98/273.39
  6. Step 6: Final answer
    x = 255.84

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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.