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Finding the Fourth Proportional to 327.06, 487.29 and 306.09

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Solution

The fourth proportional to 327.06, 487.29 and 306.09 is: 456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 487.29 = 306.09 : x
  2. Step 2: Convert to fraction form
    327.06/487.29 = 306.09/x
  3. Step 3: Cross multiply
    327.06x = 487.29 × 306.09
  4. Step 4: Simplify right side
    327.06x = 149,154.60
  5. Step 5: Solve for x
    x = 149,154.60/327.06
  6. Step 6: Final answer
    x = 456.05

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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.