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Finding the Fourth Proportional to 412.17, 568.80 and 225.68

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Solution

The fourth proportional to 412.17, 568.80 and 225.68 is: 311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 568.80 = 225.68 : x
  2. Step 2: Convert to fraction form
    412.17/568.80 = 225.68/x
  3. Step 3: Cross multiply
    412.17x = 568.80 × 225.68
  4. Step 4: Simplify right side
    412.17x = 128,363.94
  5. Step 5: Solve for x
    x = 128,363.94/412.17
  6. Step 6: Final answer
    x = 311.43

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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.