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Finding the Fourth Proportional to 229.98, 344.91 and 67.66

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Solution

The fourth proportional to 229.98, 344.91 and 67.66 is: 101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.98 : 344.91 = 67.66 : x
  2. Step 2: Convert to fraction form
    229.98/344.91 = 67.66/x
  3. Step 3: Cross multiply
    229.98x = 344.91 × 67.66
  4. Step 4: Simplify right side
    229.98x = 23,336.59
  5. Step 5: Solve for x
    x = 23,336.59/229.98
  6. Step 6: Final answer
    x = 101.47

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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.