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Finding the Fourth Proportional to 215.28, 321.33 and 213.48

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Solution

The fourth proportional to 215.28, 321.33 and 213.48 is: 318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.28 : 321.33 = 213.48 : x
  2. Step 2: Convert to fraction form
    215.28/321.33 = 213.48/x
  3. Step 3: Cross multiply
    215.28x = 321.33 × 213.48
  4. Step 4: Simplify right side
    215.28x = 68,597.53
  5. Step 5: Solve for x
    x = 68,597.53/215.28
  6. Step 6: Final answer
    x = 318.64

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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.