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Finding the Fourth Proportional to 327.25, 491.34 and 315.64

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Solution

The fourth proportional to 327.25, 491.34 and 315.64 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.25 : 491.34 = 315.64 : x
  2. Step 2: Convert to fraction form
    327.25/491.34 = 315.64/x
  3. Step 3: Cross multiply
    327.25x = 491.34 × 315.64
  4. Step 4: Simplify right side
    327.25x = 155,086.56
  5. Step 5: Solve for x
    x = 155,086.56/327.25
  6. Step 6: Final answer
    x = 473.91

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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.