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Finding the Fourth Proportional to 327.55, 491.05 and 122.08

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Solution

The fourth proportional to 327.55, 491.05 and 122.08 is: 183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.55 : 491.05 = 122.08 : x
  2. Step 2: Convert to fraction form
    327.55/491.05 = 122.08/x
  3. Step 3: Cross multiply
    327.55x = 491.05 × 122.08
  4. Step 4: Simplify right side
    327.55x = 59,947.38
  5. Step 5: Solve for x
    x = 59,947.38/327.55
  6. Step 6: Final answer
    x = 183.02

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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.