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Finding the Fourth Proportional to 437.96, 656.46 and 221.24

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Solution

The fourth proportional to 437.96, 656.46 and 221.24 is: 331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.96 : 656.46 = 221.24 : x
  2. Step 2: Convert to fraction form
    437.96/656.46 = 221.24/x
  3. Step 3: Cross multiply
    437.96x = 656.46 × 221.24
  4. Step 4: Simplify right side
    437.96x = 145,235.21
  5. Step 5: Solve for x
    x = 145,235.21/437.96
  6. Step 6: Final answer
    x = 331.62

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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.