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Finding the Fourth Proportional to 327.06, 493.05 and 306.18

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Solution

The fourth proportional to 327.06, 493.05 and 306.18 is: 461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 493.05 = 306.18 : x
  2. Step 2: Convert to fraction form
    327.06/493.05 = 306.18/x
  3. Step 3: Cross multiply
    327.06x = 493.05 × 306.18
  4. Step 4: Simplify right side
    327.06x = 150,962.05
  5. Step 5: Solve for x
    x = 150,962.05/327.06
  6. Step 6: Final answer
    x = 461.57

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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.