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Finding the Fourth Proportional to 221.81, 334.02 and 185.59

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Solution

The fourth proportional to 221.81, 334.02 and 185.59 is: 279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.81 : 334.02 = 185.59 : x
  2. Step 2: Convert to fraction form
    221.81/334.02 = 185.59/x
  3. Step 3: Cross multiply
    221.81x = 334.02 × 185.59
  4. Step 4: Simplify right side
    221.81x = 61,991.89
  5. Step 5: Solve for x
    x = 61,991.89/221.81
  6. Step 6: Final answer
    x = 279.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.