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Finding the Fourth Proportional to 327.48, 491.57 and 145.02

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Solution

The fourth proportional to 327.48, 491.57 and 145.02 is: 217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 491.57 = 145.02 : x
  2. Step 2: Convert to fraction form
    327.48/491.57 = 145.02/x
  3. Step 3: Cross multiply
    327.48x = 491.57 × 145.02
  4. Step 4: Simplify right side
    327.48x = 71,289.14
  5. Step 5: Solve for x
    x = 71,289.14/327.48
  6. Step 6: Final answer
    x = 217.69

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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.