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Finding the Fourth Proportional to 408.90, 564.31 and 261.66

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Solution

The fourth proportional to 408.90, 564.31 and 261.66 is: 361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 564.31 = 261.66 : x
  2. Step 2: Convert to fraction form
    408.90/564.31 = 261.66/x
  3. Step 3: Cross multiply
    408.90x = 564.31 × 261.66
  4. Step 4: Simplify right side
    408.90x = 147,654.53
  5. Step 5: Solve for x
    x = 147,654.53/408.90
  6. Step 6: Final answer
    x = 361.11

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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.