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Finding the Fourth Proportional to 331.62, 456.48 and 281.94

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Solution

The fourth proportional to 331.62, 456.48 and 281.94 is: 388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.62 : 456.48 = 281.94 : x
  2. Step 2: Convert to fraction form
    331.62/456.48 = 281.94/x
  3. Step 3: Cross multiply
    331.62x = 456.48 × 281.94
  4. Step 4: Simplify right side
    331.62x = 128,699.97
  5. Step 5: Solve for x
    x = 128,699.97/331.62
  6. Step 6: Final answer
    x = 388.09

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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.