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Finding the Fourth Proportional to 408.31, 563.25 and 309.89

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Solution

The fourth proportional to 408.31, 563.25 and 309.89 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.31 : 563.25 = 309.89 : x
  2. Step 2: Convert to fraction form
    408.31/563.25 = 309.89/x
  3. Step 3: Cross multiply
    408.31x = 563.25 × 309.89
  4. Step 4: Simplify right side
    408.31x = 174,548.11
  5. Step 5: Solve for x
    x = 174,548.11/408.31
  6. Step 6: Final answer
    x = 427.49

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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.