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Finding the Fourth Proportional to 215.77, 323.67 and 181.21

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Solution

The fourth proportional to 215.77, 323.67 and 181.21 is: 271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.77 : 323.67 = 181.21 : x
  2. Step 2: Convert to fraction form
    215.77/323.67 = 181.21/x
  3. Step 3: Cross multiply
    215.77x = 323.67 × 181.21
  4. Step 4: Simplify right side
    215.77x = 58,652.24
  5. Step 5: Solve for x
    x = 58,652.24/215.77
  6. Step 6: Final answer
    x = 271.83

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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.