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Finding the Fourth Proportional to 408.90, 564.39 and 292.26

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Solution

The fourth proportional to 408.90, 564.39 and 292.26 is: 403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 564.39 = 292.26 : x
  2. Step 2: Convert to fraction form
    408.90/564.39 = 292.26/x
  3. Step 3: Cross multiply
    408.90x = 564.39 × 292.26
  4. Step 4: Simplify right side
    408.90x = 164,948.62
  5. Step 5: Solve for x
    x = 164,948.62/408.90
  6. Step 6: Final answer
    x = 403.40

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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.