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Finding the Fourth Proportional to 229.72, 317.24 and 196.78

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Solution

The fourth proportional to 229.72, 317.24 and 196.78 is: 271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.72 : 317.24 = 196.78 : x
  2. Step 2: Convert to fraction form
    229.72/317.24 = 196.78/x
  3. Step 3: Cross multiply
    229.72x = 317.24 × 196.78
  4. Step 4: Simplify right side
    229.72x = 62,425.50
  5. Step 5: Solve for x
    x = 62,425.50/229.72
  6. Step 6: Final answer
    x = 271.75

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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.