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Finding the Fourth Proportional to 409.75, 565.46 and 225.75

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Solution

The fourth proportional to 409.75, 565.46 and 225.75 is: 311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.75 : 565.46 = 225.75 : x
  2. Step 2: Convert to fraction form
    409.75/565.46 = 225.75/x
  3. Step 3: Cross multiply
    409.75x = 565.46 × 225.75
  4. Step 4: Simplify right side
    409.75x = 127,651.47
  5. Step 5: Solve for x
    x = 127,651.47/409.75
  6. Step 6: Final answer
    x = 311.54

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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.