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Finding the Fourth Proportional to 146.80, 218.96 and 136.72

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Solution

The fourth proportional to 146.80, 218.96 and 136.72 is: 203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.80 : 218.96 = 136.72 : x
  2. Step 2: Convert to fraction form
    146.80/218.96 = 136.72/x
  3. Step 3: Cross multiply
    146.80x = 218.96 × 136.72
  4. Step 4: Simplify right side
    146.80x = 29,936.21
  5. Step 5: Solve for x
    x = 29,936.21/146.80
  6. Step 6: Final answer
    x = 203.93

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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.