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Finding the Fourth Proportional to 408.12, 562.75 and 297.64

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Solution

The fourth proportional to 408.12, 562.75 and 297.64 is: 410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.12 : 562.75 = 297.64 : x
  2. Step 2: Convert to fraction form
    408.12/562.75 = 297.64/x
  3. Step 3: Cross multiply
    408.12x = 562.75 × 297.64
  4. Step 4: Simplify right side
    408.12x = 167,496.91
  5. Step 5: Solve for x
    x = 167,496.91/408.12
  6. Step 6: Final answer
    x = 410.41

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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.