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Finding the Fourth Proportional to 241.72, 333.56 and 136.78

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Solution

The fourth proportional to 241.72, 333.56 and 136.78 is: 188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.72 : 333.56 = 136.78 : x
  2. Step 2: Convert to fraction form
    241.72/333.56 = 136.78/x
  3. Step 3: Cross multiply
    241.72x = 333.56 × 136.78
  4. Step 4: Simplify right side
    241.72x = 45,621.99
  5. Step 5: Solve for x
    x = 45,621.99/241.72
  6. Step 6: Final answer
    x = 188.74

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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.