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Finding the Fourth Proportional to 273.13, 411.23 and 240.83

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Solution

The fourth proportional to 273.13, 411.23 and 240.83 is: 362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.13 : 411.23 = 240.83 : x
  2. Step 2: Convert to fraction form
    273.13/411.23 = 240.83/x
  3. Step 3: Cross multiply
    273.13x = 411.23 × 240.83
  4. Step 4: Simplify right side
    273.13x = 99,037.55
  5. Step 5: Solve for x
    x = 99,037.55/273.13
  6. Step 6: Final answer
    x = 362.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.