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Finding the Fourth Proportional to 146.96, 219.56 and 109.74

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Solution

The fourth proportional to 146.96, 219.56 and 109.74 is: 163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.96 : 219.56 = 109.74 : x
  2. Step 2: Convert to fraction form
    146.96/219.56 = 109.74/x
  3. Step 3: Cross multiply
    146.96x = 219.56 × 109.74
  4. Step 4: Simplify right side
    146.96x = 24,092.87
  5. Step 5: Solve for x
    x = 24,092.87/146.96
  6. Step 6: Final answer
    x = 163.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.