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Finding the Fourth Proportional to 149.22, 223.38 and 94.95

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Solution

The fourth proportional to 149.22, 223.38 and 94.95 is: 142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.22 : 223.38 = 94.95 : x
  2. Step 2: Convert to fraction form
    149.22/223.38 = 94.95/x
  3. Step 3: Cross multiply
    149.22x = 223.38 × 94.95
  4. Step 4: Simplify right side
    149.22x = 21,209.93
  5. Step 5: Solve for x
    x = 21,209.93/149.22
  6. Step 6: Final answer
    x = 142.14

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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.