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Finding the Fourth Proportional to 146.54, 220.28 and 135.83

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Solution

The fourth proportional to 146.54, 220.28 and 135.83 is: 204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.54 : 220.28 = 135.83 : x
  2. Step 2: Convert to fraction form
    146.54/220.28 = 135.83/x
  3. Step 3: Cross multiply
    146.54x = 220.28 × 135.83
  4. Step 4: Simplify right side
    146.54x = 29,918.85
  5. Step 5: Solve for x
    x = 29,918.85/146.54
  6. Step 6: Final answer
    x = 204.18

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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.