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Finding the Fourth Proportional to 327.62, 491.63 and 135.22

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Solution

The fourth proportional to 327.62, 491.63 and 135.22 is: 202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.62 : 491.63 = 135.22 : x
  2. Step 2: Convert to fraction form
    327.62/491.63 = 135.22/x
  3. Step 3: Cross multiply
    327.62x = 491.63 × 135.22
  4. Step 4: Simplify right side
    327.62x = 66,478.21
  5. Step 5: Solve for x
    x = 66,478.21/327.62
  6. Step 6: Final answer
    x = 202.91

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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.