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Finding the Fourth Proportional to 240.58, 331.89 and 142.29

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Solution

The fourth proportional to 240.58, 331.89 and 142.29 is: 196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.58 : 331.89 = 142.29 : x
  2. Step 2: Convert to fraction form
    240.58/331.89 = 142.29/x
  3. Step 3: Cross multiply
    240.58x = 331.89 × 142.29
  4. Step 4: Simplify right side
    240.58x = 47,224.63
  5. Step 5: Solve for x
    x = 47,224.63/240.58
  6. Step 6: Final answer
    x = 196.29

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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.