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Finding the Fourth Proportional to 311.56, 464.63 and 273.22

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Solution

The fourth proportional to 311.56, 464.63 and 273.22 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.56 : 464.63 = 273.22 : x
  2. Step 2: Convert to fraction form
    311.56/464.63 = 273.22/x
  3. Step 3: Cross multiply
    311.56x = 464.63 × 273.22
  4. Step 4: Simplify right side
    311.56x = 126,944.84
  5. Step 5: Solve for x
    x = 126,944.84/311.56
  6. Step 6: Final answer
    x = 407.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.