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Finding the Fourth Proportional to 229.98, 344.87 and 67.63

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Solution

The fourth proportional to 229.98, 344.87 and 67.63 is: 101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.98 : 344.87 = 67.63 : x
  2. Step 2: Convert to fraction form
    229.98/344.87 = 67.63/x
  3. Step 3: Cross multiply
    229.98x = 344.87 × 67.63
  4. Step 4: Simplify right side
    229.98x = 23,323.56
  5. Step 5: Solve for x
    x = 23,323.56/229.98
  6. Step 6: Final answer
    x = 101.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.