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Finding the Fourth Proportional to 411.74, 568.21 and 225.23

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Solution

The fourth proportional to 411.74, 568.21 and 225.23 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.74 : 568.21 = 225.23 : x
  2. Step 2: Convert to fraction form
    411.74/568.21 = 225.23/x
  3. Step 3: Cross multiply
    411.74x = 568.21 × 225.23
  4. Step 4: Simplify right side
    411.74x = 127,977.94
  5. Step 5: Solve for x
    x = 127,977.94/411.74
  6. Step 6: Final answer
    x = 310.82

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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.