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Finding the Fourth Proportional to 273.97, 411.03 and 91.45

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Solution

The fourth proportional to 273.97, 411.03 and 91.45 is: 137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.97 : 411.03 = 91.45 : x
  2. Step 2: Convert to fraction form
    273.97/411.03 = 91.45/x
  3. Step 3: Cross multiply
    273.97x = 411.03 × 91.45
  4. Step 4: Simplify right side
    273.97x = 37,588.24
  5. Step 5: Solve for x
    x = 37,588.24/273.97
  6. Step 6: Final answer
    x = 137.20

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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.