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Finding the Fourth Proportional to 411.41, 568.21 and 280.19

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Solution

The fourth proportional to 411.41, 568.21 and 280.19 is: 386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.41 : 568.21 = 280.19 : x
  2. Step 2: Convert to fraction form
    411.41/568.21 = 280.19/x
  3. Step 3: Cross multiply
    411.41x = 568.21 × 280.19
  4. Step 4: Simplify right side
    411.41x = 159,203.92
  5. Step 5: Solve for x
    x = 159,203.92/411.41
  6. Step 6: Final answer
    x = 386.98

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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.