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Finding the Fourth Proportional to 241.80, 333.70 and 142.23

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Solution

The fourth proportional to 241.80, 333.70 and 142.23 is: 196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.80 : 333.70 = 142.23 : x
  2. Step 2: Convert to fraction form
    241.80/333.70 = 142.23/x
  3. Step 3: Cross multiply
    241.80x = 333.70 × 142.23
  4. Step 4: Simplify right side
    241.80x = 47,461.03
  5. Step 5: Solve for x
    x = 47,461.03/241.80
  6. Step 6: Final answer
    x = 196.28

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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.