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Finding the Fourth Proportional to 408.38, 562.97 and 309.97

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Solution

The fourth proportional to 408.38, 562.97 and 309.97 is: 427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.38 : 562.97 = 309.97 : x
  2. Step 2: Convert to fraction form
    408.38/562.97 = 309.97/x
  3. Step 3: Cross multiply
    408.38x = 562.97 × 309.97
  4. Step 4: Simplify right side
    408.38x = 174,503.18
  5. Step 5: Solve for x
    x = 174,503.18/408.38
  6. Step 6: Final answer
    x = 427.30

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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.