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Finding the Fourth Proportional to 226.53, 312.48 and 139.05

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Solution

The fourth proportional to 226.53, 312.48 and 139.05 is: 191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 312.48 = 139.05 : x
  2. Step 2: Convert to fraction form
    226.53/312.48 = 139.05/x
  3. Step 3: Cross multiply
    226.53x = 312.48 × 139.05
  4. Step 4: Simplify right side
    226.53x = 43,450.34
  5. Step 5: Solve for x
    x = 43,450.34/226.53
  6. Step 6: Final answer
    x = 191.81

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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.