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Finding the Fourth Proportional to 326.97, 487.80 and 311.49

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Solution

The fourth proportional to 326.97, 487.80 and 311.49 is: 464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.97 : 487.80 = 311.49 : x
  2. Step 2: Convert to fraction form
    326.97/487.80 = 311.49/x
  3. Step 3: Cross multiply
    326.97x = 487.80 × 311.49
  4. Step 4: Simplify right side
    326.97x = 151,944.82
  5. Step 5: Solve for x
    x = 151,944.82/326.97
  6. Step 6: Final answer
    x = 464.71

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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.