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Finding the Fourth Proportional to 285.36, 428.04 and 273.12

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Solution

The fourth proportional to 285.36, 428.04 and 273.12 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.36 : 428.04 = 273.12 : x
  2. Step 2: Convert to fraction form
    285.36/428.04 = 273.12/x
  3. Step 3: Cross multiply
    285.36x = 428.04 × 273.12
  4. Step 4: Simplify right side
    285.36x = 116,906.28
  5. Step 5: Solve for x
    x = 116,906.28/285.36
  6. Step 6: Final answer
    x = 409.68

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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.