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Finding the Fourth Proportional to 146.25, 217.83 and 138.54

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Solution

The fourth proportional to 146.25, 217.83 and 138.54 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 217.83 = 138.54 : x
  2. Step 2: Convert to fraction form
    146.25/217.83 = 138.54/x
  3. Step 3: Cross multiply
    146.25x = 217.83 × 138.54
  4. Step 4: Simplify right side
    146.25x = 30,178.17
  5. Step 5: Solve for x
    x = 30,178.17/146.25
  6. Step 6: Final answer
    x = 206.35

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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.