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Finding the Fourth Proportional to 409.43, 565.07 and 262.49

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Solution

The fourth proportional to 409.43, 565.07 and 262.49 is: 362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 565.07 = 262.49 : x
  2. Step 2: Convert to fraction form
    409.43/565.07 = 262.49/x
  3. Step 3: Cross multiply
    409.43x = 565.07 × 262.49
  4. Step 4: Simplify right side
    409.43x = 148,321.09
  5. Step 5: Solve for x
    x = 148,321.09/409.43
  6. Step 6: Final answer
    x = 362.27

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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.