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Finding the Fourth Proportional to 215.45, 323.22 and 99.89

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Solution

The fourth proportional to 215.45, 323.22 and 99.89 is: 149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.45 : 323.22 = 99.89 : x
  2. Step 2: Convert to fraction form
    215.45/323.22 = 99.89/x
  3. Step 3: Cross multiply
    215.45x = 323.22 × 99.89
  4. Step 4: Simplify right side
    215.45x = 32,286.45
  5. Step 5: Solve for x
    x = 32,286.45/215.45
  6. Step 6: Final answer
    x = 149.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.