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Finding the Fourth Proportional to 226.13, 312.08 and 138.83

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Solution

The fourth proportional to 226.13, 312.08 and 138.83 is: 191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.13 : 312.08 = 138.83 : x
  2. Step 2: Convert to fraction form
    226.13/312.08 = 138.83/x
  3. Step 3: Cross multiply
    226.13x = 312.08 × 138.83
  4. Step 4: Simplify right side
    226.13x = 43,323.81
  5. Step 5: Solve for x
    x = 43,323.81/226.13
  6. Step 6: Final answer
    x = 191.59

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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.