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Finding the Fourth Proportional to 412.31, 568.49 and 281.09

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Solution

The fourth proportional to 412.31, 568.49 and 281.09 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 568.49 = 281.09 : x
  2. Step 2: Convert to fraction form
    412.31/568.49 = 281.09/x
  3. Step 3: Cross multiply
    412.31x = 568.49 × 281.09
  4. Step 4: Simplify right side
    412.31x = 159,795.45
  5. Step 5: Solve for x
    x = 159,795.45/412.31
  6. Step 6: Final answer
    x = 387.56

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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.