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Finding the Fourth Proportional to 215.47, 321.46 and 205.16

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Solution

The fourth proportional to 215.47, 321.46 and 205.16 is: 306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 321.46 = 205.16 : x
  2. Step 2: Convert to fraction form
    215.47/321.46 = 205.16/x
  3. Step 3: Cross multiply
    215.47x = 321.46 × 205.16
  4. Step 4: Simplify right side
    215.47x = 65,950.73
  5. Step 5: Solve for x
    x = 65,950.73/215.47
  6. Step 6: Final answer
    x = 306.09

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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.