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Finding the Fourth Proportional to 146.01, 217.85 and 137.25

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Solution

The fourth proportional to 146.01, 217.85 and 137.25 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.01 : 217.85 = 137.25 : x
  2. Step 2: Convert to fraction form
    146.01/217.85 = 137.25/x
  3. Step 3: Cross multiply
    146.01x = 217.85 × 137.25
  4. Step 4: Simplify right side
    146.01x = 29,899.91
  5. Step 5: Solve for x
    x = 29,899.91/146.01
  6. Step 6: Final answer
    x = 204.78

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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.