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Finding the Fourth Proportional to 146.94, 220.29 and 116.41

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Solution

The fourth proportional to 146.94, 220.29 and 116.41 is: 174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 220.29 = 116.41 : x
  2. Step 2: Convert to fraction form
    146.94/220.29 = 116.41/x
  3. Step 3: Cross multiply
    146.94x = 220.29 × 116.41
  4. Step 4: Simplify right side
    146.94x = 25,644.99
  5. Step 5: Solve for x
    x = 25,644.99/146.94
  6. Step 6: Final answer
    x = 174.53

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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.