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Finding the Fourth Proportional to 288.17, 396.91 and 221.65

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Solution

The fourth proportional to 288.17, 396.91 and 221.65 is: 305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.17 : 396.91 = 221.65 : x
  2. Step 2: Convert to fraction form
    288.17/396.91 = 221.65/x
  3. Step 3: Cross multiply
    288.17x = 396.91 × 221.65
  4. Step 4: Simplify right side
    288.17x = 87,973.56
  5. Step 5: Solve for x
    x = 87,973.56/288.17
  6. Step 6: Final answer
    x = 305.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.