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Finding the Fourth Proportional to 146.23, 218.90 and 94.92

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Solution

The fourth proportional to 146.23, 218.90 and 94.92 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 218.90 = 94.92 : x
  2. Step 2: Convert to fraction form
    146.23/218.90 = 94.92/x
  3. Step 3: Cross multiply
    146.23x = 218.90 × 94.92
  4. Step 4: Simplify right side
    146.23x = 20,777.99
  5. Step 5: Solve for x
    x = 20,777.99/146.23
  6. Step 6: Final answer
    x = 142.09

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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.