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Finding the Fourth Proportional to 241.77, 333.72 and 154.42

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Solution

The fourth proportional to 241.77, 333.72 and 154.42 is: 213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.77 : 333.72 = 154.42 : x
  2. Step 2: Convert to fraction form
    241.77/333.72 = 154.42/x
  3. Step 3: Cross multiply
    241.77x = 333.72 × 154.42
  4. Step 4: Simplify right side
    241.77x = 51,533.04
  5. Step 5: Solve for x
    x = 51,533.04/241.77
  6. Step 6: Final answer
    x = 213.15

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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.