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Finding the Fourth Proportional to 409.43, 565.24 and 315.97

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Solution

The fourth proportional to 409.43, 565.24 and 315.97 is: 436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 565.24 = 315.97 : x
  2. Step 2: Convert to fraction form
    409.43/565.24 = 315.97/x
  3. Step 3: Cross multiply
    409.43x = 565.24 × 315.97
  4. Step 4: Simplify right side
    409.43x = 178,597.30
  5. Step 5: Solve for x
    x = 178,597.30/409.43
  6. Step 6: Final answer
    x = 436.21

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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.