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Finding the Fourth Proportional to 241.46, 333.20 and 136.54

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Solution

The fourth proportional to 241.46, 333.20 and 136.54 is: 188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.46 : 333.20 = 136.54 : x
  2. Step 2: Convert to fraction form
    241.46/333.20 = 136.54/x
  3. Step 3: Cross multiply
    241.46x = 333.20 × 136.54
  4. Step 4: Simplify right side
    241.46x = 45,495.13
  5. Step 5: Solve for x
    x = 45,495.13/241.46
  6. Step 6: Final answer
    x = 188.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.