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Finding the Fourth Proportional to 298.10, 445.42 and 215.44

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Solution

The fourth proportional to 298.10, 445.42 and 215.44 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 445.42 = 215.44 : x
  2. Step 2: Convert to fraction form
    298.10/445.42 = 215.44/x
  3. Step 3: Cross multiply
    298.10x = 445.42 × 215.44
  4. Step 4: Simplify right side
    298.10x = 95,961.28
  5. Step 5: Solve for x
    x = 95,961.28/298.10
  6. Step 6: Final answer
    x = 321.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.