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Finding the Fourth Proportional to 215.60, 321.42 and 205.88

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Solution

The fourth proportional to 215.60, 321.42 and 205.88 is: 306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.60 : 321.42 = 205.88 : x
  2. Step 2: Convert to fraction form
    215.60/321.42 = 205.88/x
  3. Step 3: Cross multiply
    215.60x = 321.42 × 205.88
  4. Step 4: Simplify right side
    215.60x = 66,172.92
  5. Step 5: Solve for x
    x = 66,172.92/215.60
  6. Step 6: Final answer
    x = 306.92

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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.