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Finding the Fourth Proportional to 221.63, 331.10 and 185.18

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Solution

The fourth proportional to 221.63, 331.10 and 185.18 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.63 : 331.10 = 185.18 : x
  2. Step 2: Convert to fraction form
    221.63/331.10 = 185.18/x
  3. Step 3: Cross multiply
    221.63x = 331.10 × 185.18
  4. Step 4: Simplify right side
    221.63x = 61,310.52
  5. Step 5: Solve for x
    x = 61,310.52/221.63
  6. Step 6: Final answer
    x = 276.64

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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.