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Finding the Fourth Proportional to 226.96, 313.35 and 142.97

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Solution

The fourth proportional to 226.96, 313.35 and 142.97 is: 197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.96 : 313.35 = 142.97 : x
  2. Step 2: Convert to fraction form
    226.96/313.35 = 142.97/x
  3. Step 3: Cross multiply
    226.96x = 313.35 × 142.97
  4. Step 4: Simplify right side
    226.96x = 44,798.08
  5. Step 5: Solve for x
    x = 44,798.08/226.96
  6. Step 6: Final answer
    x = 197.39

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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.