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Finding the Fourth Proportional to 412.41, 568.26 and 281.19

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Solution

The fourth proportional to 412.41, 568.26 and 281.19 is: 387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.41 : 568.26 = 281.19 : x
  2. Step 2: Convert to fraction form
    412.41/568.26 = 281.19/x
  3. Step 3: Cross multiply
    412.41x = 568.26 × 281.19
  4. Step 4: Simplify right side
    412.41x = 159,789.03
  5. Step 5: Solve for x
    x = 159,789.03/412.41
  6. Step 6: Final answer
    x = 387.45

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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.