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Finding the Fourth Proportional to 327.80, 491.34 and 135.32

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Solution

The fourth proportional to 327.80, 491.34 and 135.32 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 491.34 = 135.32 : x
  2. Step 2: Convert to fraction form
    327.80/491.34 = 135.32/x
  3. Step 3: Cross multiply
    327.80x = 491.34 × 135.32
  4. Step 4: Simplify right side
    327.80x = 66,488.13
  5. Step 5: Solve for x
    x = 66,488.13/327.80
  6. Step 6: Final answer
    x = 202.83

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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.