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Finding the Fourth Proportional to 241.78, 333.49 and 154.42

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Solution

The fourth proportional to 241.78, 333.49 and 154.42 is: 212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.78 : 333.49 = 154.42 : x
  2. Step 2: Convert to fraction form
    241.78/333.49 = 154.42/x
  3. Step 3: Cross multiply
    241.78x = 333.49 × 154.42
  4. Step 4: Simplify right side
    241.78x = 51,495.86
  5. Step 5: Solve for x
    x = 51,495.86/241.78
  6. Step 6: Final answer
    x = 212.99

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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.