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Finding the Fourth Proportional to 297.06, 408.21 and 288.87

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Solution

The fourth proportional to 297.06, 408.21 and 288.87 is: 396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.06 : 408.21 = 288.87 : x
  2. Step 2: Convert to fraction form
    297.06/408.21 = 288.87/x
  3. Step 3: Cross multiply
    297.06x = 408.21 × 288.87
  4. Step 4: Simplify right side
    297.06x = 117,919.62
  5. Step 5: Solve for x
    x = 117,919.62/297.06
  6. Step 6: Final answer
    x = 396.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.