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Finding the Fourth Proportional to 215.54, 321.41 and 213.59

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Solution

The fourth proportional to 215.54, 321.41 and 213.59 is: 318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.54 : 321.41 = 213.59 : x
  2. Step 2: Convert to fraction form
    215.54/321.41 = 213.59/x
  3. Step 3: Cross multiply
    215.54x = 321.41 × 213.59
  4. Step 4: Simplify right side
    215.54x = 68,647.29
  5. Step 5: Solve for x
    x = 68,647.29/215.54
  6. Step 6: Final answer
    x = 318.50

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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.