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Finding the Fourth Proportional to 327.45, 491.12 and 309.38

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Solution

The fourth proportional to 327.45, 491.12 and 309.38 is: 464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.45 : 491.12 = 309.38 : x
  2. Step 2: Convert to fraction form
    327.45/491.12 = 309.38/x
  3. Step 3: Cross multiply
    327.45x = 491.12 × 309.38
  4. Step 4: Simplify right side
    327.45x = 151,939.48
  5. Step 5: Solve for x
    x = 151,939.48/327.45
  6. Step 6: Final answer
    x = 464.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.