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Finding the Fourth Proportional to 221.29, 305.50 and 138.44

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Solution

The fourth proportional to 221.29, 305.50 and 138.44 is: 191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.29 : 305.50 = 138.44 : x
  2. Step 2: Convert to fraction form
    221.29/305.50 = 138.44/x
  3. Step 3: Cross multiply
    221.29x = 305.50 × 138.44
  4. Step 4: Simplify right side
    221.29x = 42,291.89
  5. Step 5: Solve for x
    x = 42,291.89/221.29
  6. Step 6: Final answer
    x = 191.12

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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.