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Finding the Fourth Proportional to 221.12, 305.34 and 138.37

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Solution

The fourth proportional to 221.12, 305.34 and 138.37 is: 191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.12 : 305.34 = 138.37 : x
  2. Step 2: Convert to fraction form
    221.12/305.34 = 138.37/x
  3. Step 3: Cross multiply
    221.12x = 305.34 × 138.37
  4. Step 4: Simplify right side
    221.12x = 42,248.37
  5. Step 5: Solve for x
    x = 42,248.37/221.12
  6. Step 6: Final answer
    x = 191.07

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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.