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Finding the Fourth Proportional to 149.82, 223.62 and 129.17

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Solution

The fourth proportional to 149.82, 223.62 and 129.17 is: 192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 223.62 = 129.17 : x
  2. Step 2: Convert to fraction form
    149.82/223.62 = 129.17/x
  3. Step 3: Cross multiply
    149.82x = 223.62 × 129.17
  4. Step 4: Simplify right side
    149.82x = 28,883.88
  5. Step 5: Solve for x
    x = 28,883.88/149.82
  6. Step 6: Final answer
    x = 192.79

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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.