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Finding the Fourth Proportional to 408.98, 564.23 and 243.14

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Solution

The fourth proportional to 408.98, 564.23 and 243.14 is: 335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 564.23 = 243.14 : x
  2. Step 2: Convert to fraction form
    408.98/564.23 = 243.14/x
  3. Step 3: Cross multiply
    408.98x = 564.23 × 243.14
  4. Step 4: Simplify right side
    408.98x = 137,184.67
  5. Step 5: Solve for x
    x = 137,184.67/408.98
  6. Step 6: Final answer
    x = 335.43

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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.