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Finding the Fourth Proportional to 232.35, 319.99 and 227.31

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Solution

The fourth proportional to 232.35, 319.99 and 227.31 is: 313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.35 : 319.99 = 227.31 : x
  2. Step 2: Convert to fraction form
    232.35/319.99 = 227.31/x
  3. Step 3: Cross multiply
    232.35x = 319.99 × 227.31
  4. Step 4: Simplify right side
    232.35x = 72,736.93
  5. Step 5: Solve for x
    x = 72,736.93/232.35
  6. Step 6: Final answer
    x = 313.05

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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.