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Finding the Fourth Proportional to 229.78, 317 and 142.42

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Solution

The fourth proportional to 229.78, 317 and 142.42 is: 196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.78 : 317 = 142.42 : x
  2. Step 2: Convert to fraction form
    229.78/317 = 142.42/x
  3. Step 3: Cross multiply
    229.78x = 317 × 142.42
  4. Step 4: Simplify right side
    229.78x = 45,147.14
  5. Step 5: Solve for x
    x = 45,147.14/229.78
  6. Step 6: Final answer
    x = 196.48

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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.