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Finding the Fourth Proportional to 215.25, 298.64 and 213.23

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Solution

The fourth proportional to 215.25, 298.64 and 213.23 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.25 : 298.64 = 213.23 : x
  2. Step 2: Convert to fraction form
    215.25/298.64 = 213.23/x
  3. Step 3: Cross multiply
    215.25x = 298.64 × 213.23
  4. Step 4: Simplify right side
    215.25x = 63,676.45
  5. Step 5: Solve for x
    x = 63,676.45/215.25
  6. Step 6: Final answer
    x = 295.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.