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Finding the Fourth Proportional to 443.48, 611.60 and 285.96

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Solution

The fourth proportional to 443.48, 611.60 and 285.96 is: 394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.48 : 611.60 = 285.96 : x
  2. Step 2: Convert to fraction form
    443.48/611.60 = 285.96/x
  3. Step 3: Cross multiply
    443.48x = 611.60 × 285.96
  4. Step 4: Simplify right side
    443.48x = 174,893.14
  5. Step 5: Solve for x
    x = 174,893.14/443.48
  6. Step 6: Final answer
    x = 394.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.