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Finding the Fourth Proportional to 226.48, 312.64 and 138

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Solution

The fourth proportional to 226.48, 312.64 and 138 is: 190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.48 : 312.64 = 138 : x
  2. Step 2: Convert to fraction form
    226.48/312.64 = 138/x
  3. Step 3: Cross multiply
    226.48x = 312.64 × 138
  4. Step 4: Simplify right side
    226.48x = 43,144.32
  5. Step 5: Solve for x
    x = 43,144.32/226.48
  6. Step 6: Final answer
    x = 190.50

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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.