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Finding the Fourth Proportional to 483.96, 727.38 and 227.64

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Solution

The fourth proportional to 483.96, 727.38 and 227.64 is: 342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.96 : 727.38 = 227.64 : x
  2. Step 2: Convert to fraction form
    483.96/727.38 = 227.64/x
  3. Step 3: Cross multiply
    483.96x = 727.38 × 227.64
  4. Step 4: Simplify right side
    483.96x = 165,580.78
  5. Step 5: Solve for x
    x = 165,580.78/483.96
  6. Step 6: Final answer
    x = 342.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.