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Finding the Fourth Proportional to 229.18, 344.01 and 107.56

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Solution

The fourth proportional to 229.18, 344.01 and 107.56 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.18 : 344.01 = 107.56 : x
  2. Step 2: Convert to fraction form
    229.18/344.01 = 107.56/x
  3. Step 3: Cross multiply
    229.18x = 344.01 × 107.56
  4. Step 4: Simplify right side
    229.18x = 37,001.72
  5. Step 5: Solve for x
    x = 37,001.72/229.18
  6. Step 6: Final answer
    x = 161.45

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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.