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Finding the Fourth Proportional to 408.58, 564.03 and 261.43

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Solution

The fourth proportional to 408.58, 564.03 and 261.43 is: 360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.58 : 564.03 = 261.43 : x
  2. Step 2: Convert to fraction form
    408.58/564.03 = 261.43/x
  3. Step 3: Cross multiply
    408.58x = 564.03 × 261.43
  4. Step 4: Simplify right side
    408.58x = 147,452.95
  5. Step 5: Solve for x
    x = 147,452.95/408.58
  6. Step 6: Final answer
    x = 360.89

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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.