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Finding the Fourth Proportional to 411.99, 568.50 and 225.47

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Solution

The fourth proportional to 411.99, 568.50 and 225.47 is: 311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.99 : 568.50 = 225.47 : x
  2. Step 2: Convert to fraction form
    411.99/568.50 = 225.47/x
  3. Step 3: Cross multiply
    411.99x = 568.50 × 225.47
  4. Step 4: Simplify right side
    411.99x = 128,179.70
  5. Step 5: Solve for x
    x = 128,179.70/411.99
  6. Step 6: Final answer
    x = 311.12

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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.