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Finding the Fourth Proportional to 240.31, 331.71 and 142.10

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Solution

The fourth proportional to 240.31, 331.71 and 142.10 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.31 : 331.71 = 142.10 : x
  2. Step 2: Convert to fraction form
    240.31/331.71 = 142.10/x
  3. Step 3: Cross multiply
    240.31x = 331.71 × 142.10
  4. Step 4: Simplify right side
    240.31x = 47,134.33
  5. Step 5: Solve for x
    x = 47,134.33/240.31
  6. Step 6: Final answer
    x = 196.14

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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.