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Finding the Fourth Proportional to 327.65, 491.47 and 144.99

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Solution

The fourth proportional to 327.65, 491.47 and 144.99 is: 217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.65 : 491.47 = 144.99 : x
  2. Step 2: Convert to fraction form
    327.65/491.47 = 144.99/x
  3. Step 3: Cross multiply
    327.65x = 491.47 × 144.99
  4. Step 4: Simplify right side
    327.65x = 71,257.87
  5. Step 5: Solve for x
    x = 71,257.87/327.65
  6. Step 6: Final answer
    x = 217.49

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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.