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Finding the Fourth Proportional to 327.61, 491.95 and 200.17

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Solution

The fourth proportional to 327.61, 491.95 and 200.17 is: 300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.61 : 491.95 = 200.17 : x
  2. Step 2: Convert to fraction form
    327.61/491.95 = 200.17/x
  3. Step 3: Cross multiply
    327.61x = 491.95 × 200.17
  4. Step 4: Simplify right side
    327.61x = 98,471.17
  5. Step 5: Solve for x
    x = 98,471.17/327.61
  6. Step 6: Final answer
    x = 300.58

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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.