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Finding the Fourth Proportional to 412.04, 568.26 and 281.24

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Solution

The fourth proportional to 412.04, 568.26 and 281.24 is: 387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.04 : 568.26 = 281.24 : x
  2. Step 2: Convert to fraction form
    412.04/568.26 = 281.24/x
  3. Step 3: Cross multiply
    412.04x = 568.26 × 281.24
  4. Step 4: Simplify right side
    412.04x = 159,817.44
  5. Step 5: Solve for x
    x = 159,817.44/412.04
  6. Step 6: Final answer
    x = 387.87

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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.