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Finding the Fourth Proportional to 149.82, 223.69 and 136.14

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Solution

The fourth proportional to 149.82, 223.69 and 136.14 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 223.69 = 136.14 : x
  2. Step 2: Convert to fraction form
    149.82/223.69 = 136.14/x
  3. Step 3: Cross multiply
    149.82x = 223.69 × 136.14
  4. Step 4: Simplify right side
    149.82x = 30,453.16
  5. Step 5: Solve for x
    x = 30,453.16/149.82
  6. Step 6: Final answer
    x = 203.26

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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.