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Finding the Fourth Proportional to 327.74, 491.76 and 145.18

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Solution

The fourth proportional to 327.74, 491.76 and 145.18 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 491.76 = 145.18 : x
  2. Step 2: Convert to fraction form
    327.74/491.76 = 145.18/x
  3. Step 3: Cross multiply
    327.74x = 491.76 × 145.18
  4. Step 4: Simplify right side
    327.74x = 71,394.33
  5. Step 5: Solve for x
    x = 71,394.33/327.74
  6. Step 6: Final answer
    x = 217.84

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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.