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Finding the Fourth Proportional to 229.61, 344.34 and 107.80

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Solution

The fourth proportional to 229.61, 344.34 and 107.80 is: 161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.61 : 344.34 = 107.80 : x
  2. Step 2: Convert to fraction form
    229.61/344.34 = 107.80/x
  3. Step 3: Cross multiply
    229.61x = 344.34 × 107.80
  4. Step 4: Simplify right side
    229.61x = 37,118.99
  5. Step 5: Solve for x
    x = 37,118.99/229.61
  6. Step 6: Final answer
    x = 161.66

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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.