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Finding the Fourth Proportional to 221.43, 305.38 and 132.81

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Solution

The fourth proportional to 221.43, 305.38 and 132.81 is: 183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.43 : 305.38 = 132.81 : x
  2. Step 2: Convert to fraction form
    221.43/305.38 = 132.81/x
  3. Step 3: Cross multiply
    221.43x = 305.38 × 132.81
  4. Step 4: Simplify right side
    221.43x = 40,559.30
  5. Step 5: Solve for x
    x = 40,559.30/221.43
  6. Step 6: Final answer
    x = 183.17

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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.