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Finding the Fourth Proportional to 327.69, 491.70 and 145.03

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Solution

The fourth proportional to 327.69, 491.70 and 145.03 is: 217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.69 : 491.70 = 145.03 : x
  2. Step 2: Convert to fraction form
    327.69/491.70 = 145.03/x
  3. Step 3: Cross multiply
    327.69x = 491.70 × 145.03
  4. Step 4: Simplify right side
    327.69x = 71,311.25
  5. Step 5: Solve for x
    x = 71,311.25/327.69
  6. Step 6: Final answer
    x = 217.62

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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.