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Finding the Fourth Proportional to 229.33, 315.78 and 196.51

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Solution

The fourth proportional to 229.33, 315.78 and 196.51 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.33 : 315.78 = 196.51 : x
  2. Step 2: Convert to fraction form
    229.33/315.78 = 196.51/x
  3. Step 3: Cross multiply
    229.33x = 315.78 × 196.51
  4. Step 4: Simplify right side
    229.33x = 62,053.93
  5. Step 5: Solve for x
    x = 62,053.93/229.33
  6. Step 6: Final answer
    x = 270.59

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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.